e. 2. erweiterte Auflage von a: Barth, Heidelberg, Leipzig Spaces of Besov-Hardy-Sobolev type: Teubner, Leipzig 1978

Transcription

1 Buchveröffentlichungen 1. Höhere Analysis: a. VEB Deutscher Verl. Wissenschaften, Berlin 1972 b. 2. Aufl., Verl. Harry Deutsch, Frankfurt a. M., Fourier analysis and function spaces: Teubner, Leipzig Interpolation theory, function spaces, differential operators: a. VEB Deutscher Verl. Wissenschaften, Berlin 1978 b. (Koproduktion von a) North-Holland, Amsterdam 1978 c. (Nachdruck von a): Beijing, 1978 d. Erweiterte russische Übersetzung von a: Mir Moskau 1980 e. 2. erweiterte Auflage von a: Barth, Heidelberg, Leipzig Spaces of Besov-Hardy-Sobolev type: Teubner, Leipzig Analysis und mathematische Physik: a. Teubner, Leipzig 1982 b. (Koproduktion von a): Hanser Verl., München 1982 c. 2. erweiterte Aufl. von a: Teubner, Leipzig 1984 d. Englische Übersetzung von c: Teubner, Leipzig 1986 e. (Koproduktion von d): Reidel, Amsterdam 1986 f. 3. erweiterte Aufl. von c: Teubner, Leipzig 1989 g. (Koproduktion von f): Birkhäuser, Basel Theory of function spaces: a. Akad. Verlagsgesellschaft Geest & Portig, Leipzig 1983 b. (Koproduktion von a): Birkhäuser, Boston 1983 c. (Nachdruck von a): Beijing, 1983 d. Erweiterte russische Übersetzung von a: Mir, Moskau 1986 e. (Reprint von a): Modern Birkhäuser Classics, Springer, Basel, (mit H.-J. Schmeißer) Topics in Fourier analysis and function spaces: a. Akad. Verlagsgesellschaft Geest & Portig, Leipzig 1987 b. (Koproduktion von a): Wiley, Chichester, England, Higher Analysis: Ambrosius Barth, Leipzig Theory of function spaces II: a. Birkhäuser, Basel 1992 b. (Reprint von a): Modern Birkhäuser Classics, Springer, Basel, (mit D. E. Edmunds) Function spaces, entropy numbers, differential operators: a. Cambridge Univ. Press 1996 b. (Paperback von a): Cambridge Univ. Press Fractals and spectra: a. Birkhäuser, Basel 1997 b. (Reprint von a): Modern Birkhäuser Classics, Springer, Basel,

2 12. The structure of functions. Birkhäuser, Basel Theory of function spaces III. Birkhäuser, Basel (mit D.D. Haroske) Distributions, Sobolev spaces, elliptic equations. European Math. Soc. Publishing House, Zürich Function spaces and wavelets on domains. European Math. Soc. Publishing House, Zürich Bases in function spaces, sampling, discrepancy, numerical integration. European Math. Soc. Publishing House, Zürich Anmerkungen zur Mathematik. Edition am Gutenbergplatz, Leipzig,

3 Publikationsliste 1. Über verallgemeinerte Lamésche Funktionen. Publ. Math. Debrecen 9 (1962), Über die Lamésche Differentialgleichung. Math. Nachr. 30 (1965), Differenzierbarkeitseigenschaften Greenscher Funktionen elliptischer Differentialoperatoren. Math. Z. 90 (1965), Einige Einbettungssätze für Räume von Distributionen. Wiss. Zeitschr. FSU Jena, Math. Naturw. Reihe 14 (1965), Randwertprobleme quasilinearer elliptischer Differentialgleichungssysteme. Math. Nachr. 31 (1966), Eine Bemerkung zu den Einbettungssätzen von Sobolew. Publ. Math. Debrecen 13(1966), Zur Struktur elliptischer Differentialoperatoren mit konstanten Koeffizienten. Arch. Math. (Basel) 17 (1966), Über die Verteilung der Approximationszahlen kompakter Operatoren in Sobolev Besov Räumen. Invent. Math. 4 (1967), Existenz- und Unitätssätze für quasilineare elliptische Differentialgleichungen. Math. Ann. 169 (1967), Erzeugung nuklearer lokalkonvexer Räume durch singuläre elliptische Differentialoperatoren zweiter Ordnung. Math. Ann. 174 (1967), Über das Dirichletsche Problem für abzählbar unendliche quasilineare stark elliptische Differentialgleichungssysteme gerader Ordnung. Math. Nachr. 35 (1967), Zur Spektraltheorie hypoelliptischer Differentialoperatoren. Publ. Math. Debrecen 14 (1967), Erzeugung des nuklearen lokalkonvexen Raumes C ( Ω) durch einen elliptischen Differentialoperator zweiter Ordnung. Math. Ann. 177 (1968), Ein hinreichendes Kriterium für die Lösbarkeit der Dirichletschen Randwertaufgabe für quasilineare elliptische Differentialgleichungen. Studia Math. 29 (1968), Eigenschaften Greenscher Funktionen nicht selbstadjungierter elliptischer Operatoren. Studia Math. 30 (1968), Eigenwertverteilungen und Greensche Funktionen entarteter elliptischer Differentialoperatoren. Czechoslovak Math. J. 18 (1968), (mit A. Pietsch) Interpolationstheorie für Banachideale von beschränkten linearen Operatoren. Studia Math. 31 (1968), Über die Approximationszahlen der Einbettungsoperatoren J(Bp,q(Ω) r Bp r,q (S)). Arch. Math. (Basel) 19 (1968),

4 19. Zur Interpolation von Normidealen in Hilberträumen. Wiss. Zeitschr. FSU Jena, Math. Naturw. Reihe 18 (1969), Singuläre elliptische Differentialgleichungen und Interpolationssätze für Sobolev Slobodeckij Räume mit Gewichtsfunktionen. Arch. Rational Mech. Anal. 32 (1969), Allgemeine Legendresche Differentialgleichungen, I. J. Funct. Analysis 6 (1970), Interpolationseigenschaften von Entropie- und Durchmesseridealen kompakter Operatoren. Studia Math. 34 (1970), Nukleare Funktionenräume und singuläre elliptische Differentialoperatoren. Studia Math. 38 (1970), Singuläre elliptische Differentialgleichungen und Interpolationssätze für Besov Räume mit Gewichtsfunktionen. In Elliptische Differentialgleichungen,I, Schriftenreihe Inst. Math. Akad. Wiss. Berlin, Heft 7, Akademie Verl., 1970, Über die Verteilung der Approximationszahlen von Integraloperatoren in Sobolev Besov Räumen. J. Math. Mech. 19 (1970), (mit U. Grünewald) Laguerresche Differentialoperatoren. Math. Nachr. 47 (1970), Allgemeine Legendresche Differentialoperatoren. II. Ann. Scuola Norm. Sup. Pisa (1970), Eine Bemerkung zur Interpolation von Banachräumen. Beiträge Anal. 2 (1971), Spaces of distributions of Besov type on Euclidean n-space. Duality, interpolation. Ark. Mat. 11 (1973), A remark on embedding theorems for Banach spaces of distributions. Ark. Mat. 11(1973), L p theory for a class of singular elliptic differential operators. Czechoslovak Math. J. 23 (1973), Über die Existenz von Schauderbasen in Sobolev Besov Räumen. Isomorphiebeziehungen. Studia Math. 46 (1973), Structure theory of function spaces. Sem. Goulaouic Schwartz 1973/74, Exp. III 34. Boundary values for Sobolev - spaces with weights. Density of D(Ω) in W s p,γ o,...,γ r (Ω) and H s p,γ o,...,γ r (Ω) for s > 0 and r = [s 1 p ]. Ann. Scuola Norm. Sup. Pisa 27 (1973), Function spaces and elliptic differential operators. Astérisque 2 et 3 (1973), Interpolation theory for spaces of Besov type. Elliptic differential operators. In Theory of Nonlinear Operators, Proc. Summer School, Babylon (ČSSR), Academia, Prague 1973,

5 37. Interpolation theory for function spaces of Besov type defined in domains, I. Math. Nachr. 57 (1973), Interpolation theory for function spaces of Besov type defined in domains, II. Math. Nachr. 58 (1973), Interpolation properties of the ε entropy and widths. Geometric quantities of the embedding in function spaces of Sobolev-Besov type (Russian). Mat. Sbornik 98 (1975), Eine Bemerkung zur nicht kommutativen Interpolation. Math. Nachr. 69 (1975), (mit H. Kretschmer) L p theory for a class of singular elliptic differential operators, II. Czechoslovak Math. J. 26 (1976), (mit H.-J. Schmeißer) Anisotropic spaces, I.(Interpolation of abstract spaces and function spaces). Math. Nachr. 73 (1976), Spaces of Kudrjavcev type, I. (Interpolation, embedding and structure). J. Math. Anal. Appl. 56 (1976), Spaces of Kudrjavcev type, II. (Spaces of distributions: duality, interpolation). J. Math. Anal. Appl. 56 (1976), Remarks on multiple Fourier series. Anal. Math. 2 (1976), Multipliers in Besov spaces and in L p spaces. (The cases 0 < p 1 and p = ). Math. Nachr. 75 (1976), Spaces of distributions with weights. Multipliers in L p spaces with weights. Math. Nachr. 78 (1977), General function spaces, I. (Decomposition methods). Math. Nachr. 79 (1977), General function spaces, II. (Inequalities of Plancherel Polya Nikol skij type, L p spaces of analytic functions, 0 < p ). J. Approximation Theory 19 (1977), General function spaces, III. (Spaces B g(x) p,q and F g(x) p,q,1 < p < : basic properties). Anal. Math. 3 (1977), General function spaces, IV. (Spaces B g(x) p,q and F g(x) p,q,1 < p < : special properties). Anal. Math. 3 (1977) Multipliers and unconditional Schauder bases in Besov spaces. Studia Math. 60 (1977), Remarks on Lebesgue Besov spaces (Representations, multipliers, embedding). In Approximation Theory for Functions, Proc. Intern. Conf. in Kaluga, Nauka, Moscow, 1977, Multiplication properties of the spaces B s p,q and F s p,q. Quasi Banach algebras of functions. Ann. Mat. Pura Appl. 113 (1977),

6 55. Multiplication properties of Besov spaces. Ann. Mat. Pura Appl. 114 (1977), On spaces of B s,q type and C s type. Math. Nachr. 85 (1978), (mit A. Kufner) On a generalization of Hardy s inequality (Russian). In Papers of S. L. Sobolev s Seminar, Novosibirsk 1978, 1, On Besov Hardy Sobolev spaces in domains and regular elliptic boundary value problems. The case 0 < p. Comm. Partial Differential Equations 3 (1978), On Haar bases in Besov spaces. Serdica 4 (1978), On the Dirichlet problem for regular elliptic differential operators of second order in the Besov spaces B s p,q: The case 0 < p. In Elliptische Differentialgleichungen, Rostock 1978, A note on quasi-normed convolution algebras of entire analytic functions of exponential type. J. Approximation Theory 22 (1978), (mit A. Kufner) Generalizations of Hardy s inequality. Sem. Matematica Univ. Bari 156 (1978), (mit B. Stöckert) Decomposition methods for function spaces of B s p,q and F s p,q type. Math. Nachr. 89 (1979), A multiplier in Besov spaces, which is not a multiplier in Lebesgue spaces. In Banach Centre Publ. 4, Warsaw 1979, Multipliers for Besov spaces. In Coll. Mathem. Societatis János Bolyai 19, Budapest 1979, General function spaces, V. Math. Nachr. 87 (1979), Strongly degenerate elliptic differential operators in Besov spaces. The case 0 < p <. Beiträge Anal. 13 (1979), Mapping properties of regular and strongly degenerate elliptic differential operators in the Besov spaces B s p,q(ω), the case 0 < p <. In: Proc. Equadiff IV, Lecture Notes Math. 703, Springer Verl. Berlin 1979, Recent developments in the theory of function spaces and linear regular elliptic differential equations. In Nonlinear Analysis, Function Spaces and Applications, Teubner, Leipzig 1979, (mit Tran Duc Long) Equivalent norms and Schauder bases in anisotropic Besov spaces. Proc. Royal Soc. Edinburgh Sect. A, 84 (1979), Theorems of Littlewood Paley type for BMO and for anisotropic Hardy spaces. In Constructive Function Theory, Sofia 1980, Equivalent quasi norms in spaces of Besov Hardy Sobolev and smoothness properties of functions. Wiss. Zeitschr. FSU Jena, Math.-Naturw. Reihe 29 (1980),

7 73. On L p (l q ) spaces of entire analytic functions of exponential type: Complex interpolation and Fourier multipliers. The case 0 < p <. J. Approximation Theory 28 (1980), On the spaces F s p,q of Hardy Sobolev type: Equivalent quasi norms, multipliers, spaces on domains, regular elliptic boundary problems. Comm. Partial Differential Equations 5 (1980), Maximal inequalities, Fourier multipliers, Littlewood Paley theorems and approximation by entire analytic functions in weighted spaces. Anal. Math. 6 (1980), A remark on complex interpolation theorems by Calderón Torchinsky and Päivärinta. In Notes on Functional Analysis, Rep. Dep. Math. Univ. Helsinki, 1980, (mit B. Carl) Inequalities between eigenvalues, entropy numbers, and related quantities of compact operators in Banach spaces. Math. Ann. 251 (1980), Complex interpolation and Fourier multipliers for the spaces B s p,q and F s p,q of Besov Hardy Sobolev type: the case 0 < p,0 < q. Math. Z. 176 (1981), Spline bases and spline representations in function spaces. Arch. Math. (Basel) 36 (1981), (mit D. E. Edmunds) Entropy numbers for non compact self adjoint operators in Hilbert spaces. Math. Nachr. 100 (1981), Remarks on the Cauchy problem for the Maxwell equations in a curved space time. In E. B. Christoffel, Birkhäuser Verl., Basel 1981, Mapping properties of abstract integral operators. Applications. Beiträge Anal. 17 (1981), A remark on integral operators from the standpoint of Fourier analysis. In Approximation and Function Spaces (Gdańsk 1979), North-Holland, Amsterdam 1981, Maximal inequalities: A useful tool in Fourier analysis. In Seminar Analysis, Institut Math. Akad. Wissenschaften, Berlin 1982, Characterizations of Besov Hardy Sobolev spaces via harmonic functions, temperatures, and related means. J. Approximation Theory 35 (1982), Anisotropic function spaces and boundary value problems for semi elliptic differential equations. In Seminar Analysis 82/83, Institut Math. Akad. Wissenschaften, Berlin 1983, A priori estimates and boundary value problems for semi elliptic differential equations: a model case. Comm. Partial Differential Equations 8 (1983), Modulation spaces on the euclidean n space. Z. Anal. Anwendungen 2 (1983), Periodic spaces of Besov Hardy Sobolev type and related maximal inequalities for trigonometrical polynomials. In Functions, Series, Operators, II. Colloq. Math. Soc. János Bolyai 35. North Holland, Amsterdam New York, 1984,

8 90. Anisotropic function spaces. I: Hardy s inequalities, decompositions. Anal. Math. 10 (1984), Anisotropic function spaces. II: Traces. Anal. Math. 10 (1984), Mapping properties of non linear operators generated by φ(u) = u ρ and by holomorphic φ(u) in function spaces of Besov Hardy Sobolev type. Boundary value problems for elliptic differential equations of type u = f(x)+φ(u). Math. Nachr. 117 (1984), Weighted anisotropic Sobolev spaces on domains: extensions and traces. Math. Nachr. 119 (1984), (mit M. Geisler) Characterizations of Besov spaces via variable differences. Comment. Math. Univ. Carolinae 25 (1984), (mit D. Edmunds) Remarks on certain non linear elliptic equations in unbounded domains. J. London Math. Soc. 31 (1985), A remark on a paper by D. E. Edmunds, A. Kufner and J. Rákosnik Embeddings of Sobolev spaces with weights of power type. Z. Anal. Anwendungen 4 (1985), Traces of anisotropic function spaces. Applications. In Proc. Centre Math. Analysis Australian Nat. Univ. 9, 1985, Recent developments in the theory of function spaces. In Equadiff 6, Lect. Notes Math. 1192, Springer, Berlin, 1986, Spaces of Besov Hardy Sobolev type on complete Riemannian manifolds. Ark. Mat. 24 (1986), Die Entwicklung der Mathematik im Spiegel der Teubner Bücher aus Leipzig. Mitteilungen Math. Gesellschaft DDR, Heft 1, 1986, Jenaer Beiträge zur Theorie der Funktionenräume. Wiss. Zeitschr. Univ. Jena, Naturw. Reihe 36 (1987), 1, Characterizations of function spaces on a complete Riemannian manifold with bounded geometry. Math. Nachr. 130 (1987), (mit D. E. Edmunds and R. M. Edmunds) Entropy numbers of embeddings of fractional Besov-Sobolev spaces in Orlicz spaces: J. London Math. Soc. 35 (1987), Anisotropic function spaces on the plane: Hardy s inequality and traces. In Approximation Theory of Functions, Proc. Intern. Conf. Kiev Moscow, Nauka, 1987, Pseudo differential operators in F s pq spaces. Z. Analysis Anwendungen 6 (1987), Function spaces on Lie groups, the Riemannian approach. J. London Math. Soc. 35(1987), Einige neuere Entwicklungen in der Theorie der Funktionenräume. Jber. Deutsch. Math. Verein. 89 (1987),

9 108. Characterizations of Besov Hardy Sobolev spaces: a unified approach. J. Approximation Theory 52 (1988), Diffeomorphism properties and pointwise multipliers for function spaces. In Function Spaces, Proc. Intern. Conf., Poznań 1986, Teubner Texte Math. 103, Teubner, Leipzig, 1988, Function spaces on Lie groups and on analytic manifolds. In Function Spaces and Applications, Proc. US Swedish Seminar, Lund Lect. Notes Math. 1302, Springer, Berlin, 1988, Atomic representations of F s pq spaces and Fourier integral operators. In Seminar Analysis of the Karl Weierstraß Institute 1986/87, Teubner Texte Math. 106, Teubner, Leipzig, 1988, On a class of weighted function spaces and related pseudodifferential operators. Studia Math. 90 (1988), How to measure smoothness of distributions on Riemannian symmetric manifolds and Lie groups? Z. Analysis Anwendungen 7 (1988), (mit D. E. Edmunds) Entropy numbers and approximation numbers in function spaces. Proc. London Math. Soc. 58 (1989), Local approximation spaces. Z. Analysis Anwendungen 8 (1989), Local means, oscillations, atoms and exotic pseudodifferential operators in function spaces. In Function Spaces, Differential Operators and Nonlinear Analysis, Proc. Summer School Sodankylä, Finland Longman, Harlow (England), 1989, A diagonal embedding theorem for function spaces with dominating mixed smoothness properties. In Approximation and Function spaces, Banach Center Publ. 22, Warsaw 1989, AtomicdecompositionsofF s pq spaces.applicationstoexoticpseudodifferentialandfourier integral operators. Math. Nachr. 144 (1989), Characterizations of F s pq spaces via local means, the extension problem. (Russian). Trudy Mat. Inst. Steklov 192 (1990), [English translation: AMS, Proc. Steklov Inst. Math. 1992, vol. 3, ] 120. Inequalities in the theory of function spaces: A tribute to Hardy, Littlewood and Polya. In Inequalities, Proc. Conf. Birmingham (U.K.). Lecture Notes Pure Appl. Math New York: Marcel Dekker 1991, (mit M. Malarski) Anisotropic function spaces: Hardy s inequality and traces on surfaces. Czechoslovak Math. J. 41 (1991), (mit D. E. Edmunds) Entropy numbers and approximation numbers in function spaces, II. Proc. London Math. Soc. 64 (1992),

10 123. Approximation numbers and entropy numbers of embeddings of fractional Besov Sobolev spaces in Orlicz spaces. Proc. London Math. Soc. 66 (1993), A localization property for B s pq and F s pq spaces. Studia Math. 109 (1994), (mit D. Haroske) Entropy numbers in weighted function spaces and eigenvalue distributions of some degenerate pseudodifferential operators I. Math. Nachr. 167 (1994), (mit D. Haroske) Entropy numbers in weighted function spaces and eigenvalue distributions of some degenerate pseudo differential operators. II. Math. Nachr. 168 (1994), (mit D. E. Edmunds) Eigenvalue distributions of some degenerate elliptic operators: an approach via entropy numbers. Math. Ann. 299 (1994), (mit H.-G. Leopold) Spectral invariance for pseudodifferential operators on weighted function spaces. manuscripta math. 83 (1994), Relations between approximation numbers and entropy numbers. J. Approximation Theory 78 (1994), (mit W. Sickel) Hölder inequalities and sharp embeddings in function spaces of B s pq and F s pq type. Z. Analysis Anwendungen 14 (1995), (mit H. Winkelvoß) The dimension of a closed subset of R n and related function spaces. Acta Math. Hungar. 68 (1-2) (1995), (mit D. E. Edmunds) Logarithmic Sobolev spaces and their applications to spectral theory. Proc. London Math. Soc. 71 (1995), Mathematische Modellbildung. Berlin - Brandenb. Aka. Wiss., Berichte und Abhandlungen, Bd. 1 (1995), (mit H. Winkelvoß) Intrinsic atomic characterizations of function spaces on domains. Math. Z. 221 (1996), (mit H. Winkelvoß) A Fourier analytical characterization of the Hausdorff dimension of a closed set and of related Lebesgue spaces. Studia Math. 121 (1996), (mit D. E. Edmunds) Spectral theory for isotropic fractal drums. C. R. Acad. Sci. Paris 326, Ser. I, (1998), Gaussian decompositions in function spaces. Result. Math. 34 (1998), (mit D. E. Edmunds) Logarithmic spaces and related trace problems. Functiones et Approximatio 26 (1998), Decompositions of function spaces. In: Topics in Nonlinear Analysis. Progress in Nonlinear Diff. Equations Applications 35, Birkhäuser, Basel 1999, Function spaces and spectra of elliptic operators on a class of hyperbolic manifolds. Studia Math. 134 (1999),

11 141. Hardy inequalities in function spaces. Math. Bohem. 124 (1999), Quarks, fractals, non-linearities, and related elliptic operators. Proceedings Conf. Nonlinear analysis, function spaces and applications VI, Prague, Math. Inst. Czech Acad. Sci., Prague, 1999, (mit D. E. Edmunds) Sharp Sobolev embeddings and related Hardy inequalities: The critical case. Math. Nachr. 207 (1999), (mit D. E. Edmunds) Eigenfrequencies of isotropic fractal drums. Operator Theory: Advances Appl. 110 (1999), Sharp Sobolev embeddings and related Hardy inequalities: The sub-critical case. Math. Nachr. 208 (1999), (mit W. Farkas) The distribution of eigenfrequencies of anisotropic fractal drums. J. London Math. Soc. (2) 60 (1999), The Laplace operator in fractal domains. Proceedings Conf. Function spaces, differential operators and nonlinear analysis, Syöte (Finland), Math. Inst. Czech Acad. Sci., Praha, 2000, Taylor expansions of distributions. Numer. Funct. Anal. and Optimiz. 21 (2000), Truncations of functions. Forum Math. 12 (2000), Regularity theory for some semi-linear equations: the Q-method. Forum Math. 13 (2001), Refined solutions of some integral equations. Functiones et Approximatio 29 (2001), (mit Dachun Yang) Spectral theory of Riesz potentials on quasi-metric spaces. Math. Nachr. 238 (2002), Towards a Gausslet analysis: Gaussian representations of functions. Proceedings Conf. Function spaces, interpolation theory and related topics, Lund, W. de Gruyter, Berlin, 2002, Sharp embeddings in function spaces. Functions, Series, Operators, Alexits Memorial Conf., Budapest, J. Bolyai Math. Soc., Budapest, 2002, Fraktale Analysis aus der Sicht der Funktionenräume. Jahresbericht DMV 104 (2002), Function spaces in Lipschitz domains and on Lipschitz manifolds. Characteristic functions as pointwise multipliers. Revista Mat. Complutense 15 (2002), Wavelet frames for distributions; local and pointwise regularity. Studia Math. 154 (2003),

12 158. Fractal characteristics of measures; an approach via function spaces. Journ. Fourier Anal. Applications 9 (2003), Characterisation of function spaces via mollification; fractal quantities for distributions. Journ. Function Spaces Applications 1 (2003), The positivity property of function spaces. In: Proc. Sixth Conf. Function Spaces, Sept. 2001, Wroclaw. World Scientific Publ., Singapore 2003, Non-smooth atoms and pointwise multipliers in function spaces. Ann. Mat. Pura Appl. 182 (2003), The distribution of eigenvalues of some fractal elliptic operators and Weyl measures. Operator Theory: Advances and Applications 147 (2004), Approximation numbers in function spaces and the distribution of eigenvalues of some fractal elliptic operators. Journ. Approx. Theory 129 (2004), The fractal Laplacian and multifractal quantities. In: Progress in Probability 57, Birkhäuser, Basel 2004, Lacunary measures and self-similar probability measures in function spaces. Acta Math. Sinica, Engl. Series, 20 (2004), (mit Fernando Cobos und Luz M. Fernández-Cabrera) Abstract and concrete logarithmic interpolation spaces. J. London Math. Soc. 70 (2004), A note on wavelet bases in function spaces. Orlicz Centenary Vol., Banach Center Publ. 64 (2004), (mit Dorothee Haroske) Wavelet bases and entropy numbers in weighted function spaces. Math. Nachr. 278 (2005), The regularity of measures and related properties of eigenfunctions and first eigenvalues of some fractal elliptic operators. Ann. Soc. Math. Polonae. Ser I: Commentationes Mathematicae, tomus spec. in honorem I. Musielak, (2004), A new approach to function spaces on quasi-metric spaces. Rev. Mat. Complut. 18 (2005), Wavelet bases in anisotropic function spaces. Proc. Function Spaces, Differential Operators, and Nonlinear Analysis, Milovy (Czech Rep.), Math. Inst. Acad. Sci. Czech Republic, Praha, 2005, Sampling numbers and embedding constants. Trudy Mat. Inst. Steklov 248 (2005), Proc. Steklov Inst. Math. 248 (2005), Spaces on sets. Uspechi mat. nauk 60:6 (2005), (Russian). Russian Math. Surveys 60 (2005), (mit E. Novak) Function spaces in Lipschitz domains and optimal rates of convergence for sampling. Constr. Approx. 23 (2006),

13 175. (mit A.M. Caetano und S. Lopes) A homogeneity property for Besov spaces. Journ. Function Spaces Appl. 5 (2007), Wavelets in function spaces on Lipschitz domains. Math. Nachr. 280 (2007), Wavelet para-bases and sampling numbers in function spaces on domains. Journ. Complexity 23 (2007), Local means and wavelets in function spaces. Proc. Conf. Function Spaces 8, Bedlewo, Banach Center Publ. 79 (2008), The dichotomy between traces on d-sets Γ in R n and the density of D(R n \Γ) in function spaces. Acta Math. Sinica 24 (2008), Wavelet bases in Lorentz and Zygmund spaces. Georgian Math. Journ. 15 (2008), Fractal analysis, an approach via function spaces. Topics in Mathematical Analysis, Ser. Analysis, Applications and Computation 3, World Scientific, New Jersey, 2008, Wavelets in function spaces. Perspectives in Partial Differential Equations, Harmonic Analysis and Applications, Proceedings of Symposia in Pure Mathematics 79, Amer. Math. Soc., Providence, 2008, Function spaces on cellular domains. Sobolev spaces in mathematics II. Applications in analysis and partial differential equations. Springer, New York, 2009, Numerical integration and discrepancy, a new approach. Math. Nachr. 283(2010), Sobolev-Besov spaces of measurable functions. Studia Math. 201 (2010), Entropy numbers in function spaces with mixed integrability. Rev. Mat. Complut. 24 (2011), Limits of Besov norms. Arch. Math. 96 (2011), Eigenvalue distributions of some non-isotropic degenerate elliptic operators. Rev. Mat. Complut. 24 (2011), (mit D.D. Haroske) Embeddings of function spaces: a criterion in terms of differences. Complex Var. Elliptic Equ. 56 (2011),