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1 Dorothee D. Haroske, Institute of Mathematics, Friedrich-Schiller-University, Jena, Germany Publications, sorted by subject 1. Theses July 13, 2015 [1] D. Haroske. Gewichtete Funktionenräume und kompakte Einbettungen. Diplomarbeit, Friedrich-Schiller-Universität Jena, Germany, [2] D. Haroske. Entropy Numbers and Approximation Numbers in Weighted Function Spaces of Type Bp,q s and Fp,q, s Eigenvalue Distributions of Some Degenerate Pseudodifferential Operators. PhD thesis, Friedrich-Schiller-Universität Jena, Germany, [3] D.D. Haroske. Limiting embeddings, entropy numbers and envelopes in function spaces. Habilitationsschrift, Friedrich-Schiller-Universität Jena, Germany, Books, Booklets [4] D. Haroske. Some logarithmic function spaces, entropy numbers, applications to spectral theory. Dissertationes Math., 373:1 59, [5] D.E. Edmunds and D.D. Haroske. Spaces of Lipschitz type, embeddings and entropy numbers. Dissertationes Math., 380:1 43, [6] D.D. Haroske, Th. Runst, and H.J. Schmeißer (Editors). Function Spaces, Differential Operators and Nonlinear Analysis - The Hans Triebel Anniversary Volume xii pages, Birkhäuser, Basel, [7] D.D. Haroske. Envelopes and Sharp Embeddings of Function Spaces. Chapman & Hall/CRC Research Notes in Mathematics, Vol Chapman & Hall/CRC, Boca Raton, FL, [8] D.D. Haroske and H. Triebel. Distributions, Sobolev Spaces, Elliptic Equations. EMS Textbooks in Mathematics (ETB). 303 pages, European Mathematical Society (EMS), Zürich, Papers in journals [9] D. Haroske and H. Triebel. Entropy numbers in weighted function spaces and eigenvalue distribution of some degenerate pseudodifferential operators I. Math. Nachr., 167: , [10] D. Haroske and H. Triebel. Entropy numbers in weighted function spaces and eigenvalue distribution of some degenerate pseudodifferential operators II. Math. Nachr., 168: , [11] D. Haroske. Approximation numbers in some weighted function spaces. J. Approx. Theory, 83(1): , [12] D.D. Haroske. Embeddings of some weighted function spaces on R n ; entropy and approximation numbers. A survey of some recent results. An. Univ. Craiova, Ser. Mat. Inform., vol. XXIV:1 44, [13] D.D. Haroske. Logarithmic Sobolev spaces on R n ; entropy numbers, and some application. Forum Math., 12(3): , 2000.
2 2 Dorothee D. Haroske [14] D.E. Edmunds and D.D. Haroske. Embeddings in spaces of Lipschitz type, entropy and approximation numbers, and applications. J. Approx. Theory, 104(2): , [15] D.D. Haroske. On more general Lipschitz spaces. Z. Anal. Anwendungen, 19(3): , [16] D.D. Haroske and S.D. Moura. Continuity envelopes of spaces of generalised smoothness, entropy and approximation numbers. J. Approx. Theory, 128(2): , [17] D.D. Haroske and H. Triebel. Wavelet bases and entropy numbers in weighted function spaces. Math. Nachr., 278(1-2): , [18] A.M. Caetano and D.D. Haroske. Continuity envelopes of spaces of generalised smoothness : a limiting case; embeddings and approximation numbers. J. Funct. Spaces Appl., 3(1):33 71, [19] D.D. Haroske and E. Tamási. Wavelet frames in anisotropic Besov spaces. Georgian Math. J., 12(4): , [20] D.D. Haroske. Growth envelope functions in Besov and Sobolev spaces. Local versus global results. Math. Nachr., 280(9-10): , [21] D.D. Haroske and S.D. Moura. Continuity envelopes and sharp embeddings in spaces of generalized smoothness. J. Funct. Anal., 254(6): , [22] D.D. Haroske and L. Skrzypczak. Entropy and approximation numbers of embeddings of function spaces with Muckenhoupt weights, I. Rev. Mat. Complut., 21(1): , [23] D.D. Haroske. Sobolev spaces with Muckenhoupt weights, singularities and inequalities. Georgian Math. J., 15(2): , [24] D.D. Haroske and I. Piotrowska. Atomic decompositions of function spaces with Muckenhoupt weights, and some relation to fractal analysis. Math. Nachr., 281(10): , [25] D.D. Haroske and C. Schneider. Besov spaces with positive smoothness on R n, embeddings and growth envelopes. J. Approx. Theory, 161(2): , [26] D.D. Haroske and H.-J. Schmeißer. On trace spaces of function spaces with a radial weight: the atomic approach. Complex Var. Elliptic Equ., 55(8-10): , [27] D.D. Haroske. Growth envelopes in Muckenhoupt weighted function spaces: the general case. Funct. Approx. Comment. Math., 42(2): , [28] D.D. Haroske and L. Skrzypczak. Spectral theory of some degenerate elliptic operators with local singularities, J. Math. Anal. Appl., 371(1): , [29] D.D. Haroske and L. Skrzypczak. Entropy and approximation numbers of embeddings of function spaces with Muckenhoupt weights, II. General weights, Ann. Acad. Sci. Fenn. Math., 36: , [30] D.D. Haroske and L. Skrzypczak. Entropy numbers of embeddings of function spaces with Muckenhoupt weights, III. Some limiting cases, J. Funct. Spaces Appl., 9(2): , [31] D.D. Haroske and H. Triebel. Embeddings of function spaces: A criterion in terms of difference, Complex Var. Elliptic Equ., 56(10-11): , [32] D.D. Haroske and L. Skrzypczak. Continuous embeddings of Besov-Morrey function spaces. Acta Math. Sinica, 28(7): , 2012.
![Continuity envelopes of spaces of generalised smoothness, entropy and approximation numbers. J. Approx. Theory, 128(2):151 174, 2004. [17] D.D. Haroske and H. Triebel.](/docs-images/57/5531557/images/page_2.jpg "Wavelet bases and entropy numbers in weighted function spaces. Math. Nachr., 278(1-2):108 132, 2005. [18] A.M. Caetano and D.D. Haroske.")
3 Dorothee D. Haroske 3 [33] M.L. Goldman and D.D. Haroske. Estimates for continuity envelopes and approximation numbers of Bessel potentials, J. Approx. Theory, 172:58 85, [34] M. Gol dman, D.D. Haroske, and A. Malysheva. Estimates of the uniform modulus of continuity for Bessel potentials. Dokl. Akad. Nauk, 450(2): , Russian; English transl.: Dokl. Math. 87, (2013). [35] D.D. Haroske and H. Triebel. Some recent developments in the theory of function spaces involving differences. J. Fixed Point Theory Appl., 13(2): , [36] D.D. Haroske and L. Skrzypczak. Embeddings of Besov-Morrey spaces on bounded domains. Studia Math., 218: , [37] M.L. Gol dman and D.D. Haroske. Optimal Embedding and Sharp Estimates of the Continuity Envelope for Generalized Bessel Potentials. Dokl. Akad. Nauk, 453(3): , Russian; English transl.: Dokl. Math. 88, (2013). [38] D.D. Haroske and L. Skrzypczak. On Sobolev and Franke-Jawerth embeddings of smoothness Morrey spaces. Rev. Mat. Complut., 27(2): , [39] M.L. Gol dman and D.D. Haroske. Optimal Calderón Space for Bessel Potentials. Dokl. Akad. Nauk, 458(5): , Russian; English transl.: Dokl. Math. 90, (2014). [40] W. Yuan, D.D. Haroske, L. Skrzypczak, and D. Yang. Embedding properties of Besov type spaces. Appl. Anal., 94(2): , [41] W. Yuan, D.D. Haroske, S.D. Moura, L. Skrzypczak, and D. Yang. Limiting embeddings in smoothness Morrey spaces, continuity envelopes and applications. J. Approx. Theory, 192: , [42] A.M. Caetano and D.D. Haroske. Embeddings of Besov spaces on fractal h-sets. Banach J. Math. Anal., 9(4): , [43] W. Yuan, D.D. Haroske, L. Skrzypczak, and D. Yang. Embedding properties of weighted Besov type spaces. Appl. Anal., 94(2): , [44] D.D. Haroske and S.D. Moura. Some specific unboundedness property in Smoothness Morrey Spaces. The non-existence of growth envelopes in the subcritical case, Acta Math. Sinica, to appear. 4. Conference proceedings, book contributions [45] D. Haroske. Entropy numbers in weighted function spaces and applications. In J. Rákosník, editor, Function Spaces, Differential Operators and Nonlinear Analysis, pages Proceedings of the Conference held in Paseky nad Jizerou, September, 1995, Prometheus Publishing House, [46] D.D. Haroske. Embeddings in spaces of Lipschitz type, entropy and approximation numbers. In V. Mustonen and J. Rákosník, editors, Function Spaces, Differential Operators and Nonlinear Analysis, pages Proceedings of the Conference held in Syöte, June, 1999, Math. Inst. Acad. Sci. Czech Republic, [47] A.M. Caetano and D.D. Haroske. Sharp estimates of approximation numbers via growth envelopes. In D.D. Haroske, Th. Runst, and H.J. Schmeißer, editors, Function Spaces, Differential Operators and Nonlinear Analysis - The Hans Triebel Anniversary Volume, pages Birkhäuser, Basel, 2003.
![Triebel. Some recent developments in the theory of function spaces involving differences. J. Fixed Point Theory Appl., 13(2):341 358, 2013. [36] D.D. Haroske and L. Skrzypczak.](/docs-images/57/5531557/images/page_3.jpg "Embeddings of Besov-Morrey spaces on bounded domains. Studia Math., 218:119 144, 2013. [37] M.L. Gol dman and D.D. Haroske.")
4 4 Dorothee D. Haroske [48] D.D. Haroske. Envelope functions in real interpolation spaces. A first approach. In L. De Carli and M. Milman, editors, Interpolation Theory and Applications, volume 445 of Contemp.Math., pages Proceedings of the Conference held in Miami, FL, March 29-31, 2006, AMS, Providence, RI., [49] D.D. Haroske. Singularities in Muckenhoupt weighted function spaces. Proceedings of the Conference Function Spaces VIII held in Będlewo, Poland, July 3-7, 2006, volume 79 of Banach Center Publications, pages , Polish Acad. Sci., Warsaw, [50] D.D. Haroske and H.-J. Schmeisser. Extrapolation of function spaces and related topics. In Proc. NAFSA-9, pages Prague 2011, Acad. Sci. Czech Repub., [51] D.D. Haroske. Lipschitz continuity in Muckenhoupt A 1 weighted function spaces, In Function spaces IX, volume 92 of Banach Center Publ., pages , Warsaw, Polish Acad. Sci., Warsaw. [52] D.D. Haroske. Dichotomy in Muckenhoupt weighted function space: A fractal example. In B.M. Brown, J. Lang, and I. Wood, editors, Spectral Theory, Function Spaces and Inequalities. New Techniques and Recent Trends, volume 219 of Operator Theory: Advances and Applications, pages Springer, Basel, [53] D.D. Haroske and Ph. Skandera. Embeddings of doubling weighted Besov spaces. In Function spaces X, Banach Center Publ., pages , Warsaw, Polish Acad. Sci., Warsaw. 5. Papers in preparation, submitted papers [54] A.M. Caetano and D.D. Haroske. Traces for Besov spaces on fractal h-sets and dichotomy results, submitted [55] M.L. Gol dman and D.D. Haroske. Optimal Calderón Space for generalized Bessel Potentials. in preparation [56] D.D. Haroske and Th. Mieth. Traces of Muckenhoupt weighted function spaces in case of distant singularities, submitted [57] D.D. Haroske and Th. Mieth. Dichotomy in Muckenhoupt weighted function spaces, in preparation [58] D.D. Haroske, S.D. Moura, and L. Skrzypczak. Smoothness Morrey Spaces of regular distributions, and some unboundedness property. in preparation [59] D.D. Haroske, Ph. Skandera and H. Triebel. An approach to wavelet isomorphisms of function spaces via atomic representations. in preparation [60] D.D. Haroske and L. Skrzypczak. Embeddings of weighted Morrey spaces. in preparation 6. Preprints, technical reports [61] D. Haroske. Some limiting embeddings in weighted function spaces and related entropy numbers. Forschungsergebnisse Math/Inf/97/04, p. 1-54, Universität Jena, Germany, [62] D. Haroske. Some remarks on approximation numbers in weighted function spaces. Preprint, Jena, 1997.
![[49] D.D. Haroske. Singularities in Muckenhoupt weighted function spaces.](/docs-images/57/5531557/images/page_4.jpg "Proceedings of the Conference Function Spaces VIII held in Będlewo, Poland, July 3-7, 2006, volume 79 of Banach Center Publications, pages 95-112, Polish Acad. Sci., Warsaw, 2007. [50] D.")
5 Dorothee D. Haroske 5 [63] D.E. Edmunds and D. Haroske. Spaces of Lipschitz type, embeddings and entropy numbers. Forschungsergebnisse Math/Inf/98/10, p. 1-65, Universität Jena, Germany, [64] D.E. Edmunds and D.D. Haroske. Embeddings in spaces of Lipschitz type, entropy and approximation numbers, and applications. Forschungsergebnisse Math/Inf/98/31, p. 1-51, Universität Jena, Germany, [65] D.D. Haroske. Envelopes in function spaces - a first approach. Jenaer Schriften zur Mathematik und Informatik Math/Inf/16/01, p. 1-72, Universität Jena, Germany, [66] D.D. Haroske and H. Triebel. Wavelet bases and entropy numbers in weighted function spaces. Jenaer Schriften zur Mathematik und Informatik Math/Inf/01/04, p. 1-31, Universität Jena, Germany, [67] A.M. Caetano and D.D. Haroske. Continuity envelopes of spaces of generalised smoothness : a limiting case; embeddings and approximation numbers. Technical Report Math/Inf/06/04, p. 1-24, Universität Jena, Germany, [68] D.D. Haroske and E. Tamási. Wavelet frames in anisotropic Besov spaces. Jenaer Schriften zur Mathematik und Informatik Math/Inf/01/05, p. 1-22, Universität Jena, Germany, [69] D.D. Haroske and I. Piotrowska. Atomic decompositions of function spaces with Muckenhoupt weights; an example from fractal geometry. Jenaer Schriften zur Mathematik und Informatik Math/Inf/06/05, Universität Jena, Germany, [70] D.D. Haroske and S.D. Moura. Continuity envelopes and sharp embeddings in spaces of generalized smoothness. Jenaer Schriften zur Mathematik und Informatik Math/Inf/19/06, Universität Jena, Germany, [71] D.D. Haroske and C. Schneider. Besov spaces with positive smoothness on R n, embeddings and growth envelopes. Jenaer Schriften zur Mathematik und Informatik Math/Inf/02/08, Universität Jena, Germany, [72] D.D. Haroske and L. Skrzypczak. Entropy and approximation numbers of embeddings of function spaces with Muckenhoupt weights, II. General weights. Bericht, Nr , Philipps-Universität Marburg, Germany, Miscellannea [73] D. Haroske and H. Scharm. Pascal- und Hilbert-Matrizen. Wurzel (Math. Schülerzeitschrift), 21(1):2 7, (German). [74] D.D. Haroske. Envelopes in function spaces. A new tool - ideas and first results. Colloquium del Departamento de Análisis Matemático Curso , p , Universidad Complutense de Madrid, Spain, [75] A.M. Caetano and D.D. Haroske. An interview with Hans Triebel. CIM Bulletin, No. 23, p , December Universidade de Coimbra, Portugal. Reprinted in: EMS Newsletter, December 2008, p , EMS Publishing House, Zürich; Chinese transl. in: Mathematical Advance in Translation, 2010, vol. 29, no. 1, pp [76] D.D. Haroske and H.-J. Schmeisser. Editorial [Special issue: Special issue, part 1: To Hans Triebel on the occasion of his 75th birthday]. Math. Nachr., 286(5-6): , 2013.
![[65] D.D. Haroske. Envelopes in function spaces - a first approach. Jenaer Schriften zur Mathematik und Informatik Math/Inf/16/01, p. 1-72, Universität Jena, Germany, 2001. [66] D.D. Haroske and H.](/docs-images/57/5531557/images/page_5.jpg "Triebel. Wavelet bases and entropy numbers in weighted function spaces. Jenaer Schriften zur Mathematik und Informatik Math/Inf/01/04, p. 1-31, Universität Jena, Germany, 2004. [67] A.M. Caetano and D.")
6 6 Dorothee D. Haroske 8. Lecture Notes (in German) [77] Differential- und Integralrechnung I & II, 273 S., 2002, 2012/13 [78] Funktionentheorie, Partielle Differentialgleichungen, 134 S., 2002 [79] Interpolationstheorie, 76 S., 2003, 2007/08, 2008/09, 2010/11 [80] Distributionen, Sobolev-Räume und elliptische Differentialoperatoren, 70 S., 2004 [81] Approximationstheorie, 120 S., 2004, 2007, 2010, 2013/14 [82] Elliptische Differentialgleichungen, 190 S., 2005/06; 2007/08, 2011/12, 2015 [83] Mathematik 1 für Ingenieure, 134 S., 2009 [84] Höhere Analysis, I & II, 214 S., 2011/12, 2014/15 [85] Grundlagen der Analysis, 126 S., 2012 Telefon: Fax: dorothee.haroske@uni-jena.de
![, 2003, 2007/08, 2008/09, 2010/11 [80] Distributionen, Sobolev-Räume und elliptische Differentialoperatoren, 70 S., 2004 [81] Approximationstheorie, 120 S.](/docs-images/57/5531557/images/page_6.jpg ", 2004, 2007, 2010, 2013/14 [82] Elliptische Differentialgleichungen, 190 S., 2005/06; 2007/08, 2011/12, 2015 [83] Mathematik 1 für Ingenieure, 134 S.")
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