Edit Profile (opens in new tab) Sickel, Winfried Co-Author Distance Author ID: sickel.winfried Published as: Sickel, Winfried; Sickel, W. External Links: MGP Documents Indexed: 118 Publications since 1980, including 3 Books and 2 Additional arXiv Preprints Reviewing Activity: 28 Reviews Co-Authors: 45 Co-Authors with 93 Joint Publications 870 Co-Co-Authors all top 5 Co-Authors 25 single-authored 12 Bourdaud, Gérard 10 Skrzypczak, Leszek 10 Yang, Dachun 10 Yuan, Wen 9 Kühn, Thomas 9 Schmeisser, Hans-Jürgen 8 Dahlke, Stephan 7 Ullrich, Tino 6 Johnsen, Jon 6 Nguyen, Van Kien 5 Hansen, Markus 5 Moussai, Madani 4 Leopold, Hans-Gerd 4 Novak, Erich 4 Vybíral, Jan 3 Lanza de Cristoforis, Massimo 3 Munch Hansen, S. 2 Cobos, Fernando 2 Hovemann, Marc 2 Reich, Maximilian 2 Reissig, Michael 2 Runst, Thomas 2 Schneider, Cornelia 2 Sprengel, Frauke 2 Youssfi, Abdellah 2 Zhuo, Ciqiang 1 Baituyakova, Zhuldyz 1 Byrenheid, Glenn 1 Dick, Josef 1 Dinh Dũng 1 Farkas, Walter 1 Gnewuch, Michael 1 Koch, Herbert 1 Li, Yinqin 1 Li, Ziwei 1 Markhasin, Lev 1 Mironescu, Petru 1 Nguyen Van Kien 1 Nguyen, Van-Dung 1 Pick, Luboš 1 Runovski, Konstantin Vsevolodovich 1 Sautbekova, Merey 1 Scharf, Benjamin 1 Triebel, Hans 1 Yang, Sibei all top 5 Serials 9 Journal of Approximation Theory 9 Mathematische Nachrichten 6 Journal of Complexity 5 Forum Mathematicum 4 Analysis Mathematica 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Journal of Functional Analysis 4 Zeitschrift für Analysis und ihre Anwendungen 4 Constructive Approximation 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Proceedings of the Steklov Institute of Mathematics 3 Eurasian Mathematical Journal 2 Journal of Mathematical Analysis and Applications 2 Studia Mathematica 2 Czechoslovak Mathematical Journal 2 Journal of the London Mathematical Society. Second Series 2 Revista Matemática Iberoamericana 2 East Journal on Approximations 2 The Journal of Fourier Analysis and Applications 2 Science China. Mathematics 1 Applicable Analysis 1 Archiv der Mathematik 1 Canadian Mathematical Bulletin 1 Journal of Differential Equations 1 Mathematische Zeitschrift 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Mathematica Bohemica 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Revista Matemática Complutense 1 Journal of Computational Analysis and Applications 1 Acta Mathematica Sinica. English Series 1 Communications in Contemporary Mathematics 1 Journal of Function Spaces and Applications 1 Complex Variables and Elliptic Equations 1 De Gruyter Series in Nonlinear Analysis and Applications 1 Lecture Notes in Mathematics 1 RIMS Kôkyûroku Bessatsu 1 Journal of Pseudo-Differential Operators and Applications 1 Analysis and Geometry in Metric Spaces 1 Journal of Function Spaces all top 5 Fields 98 Functional analysis (46-XX) 46 Harmonic analysis on Euclidean spaces (42-XX) 37 Operator theory (47-XX) 27 Approximations and expansions (41-XX) 12 Numerical analysis (65-XX) 10 Partial differential equations (35-XX) 5 Real functions (26-XX) 1 Number theory (11-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 111 Publications have been cited 2,450 times in 1,496 Documents Cited by ▼ Year ▼ Sobolev spaces of fractional order, Nemytskij operators and nonlinear partial differential equations. Zbl 0873.35001 Runst, Thomas; Sickel, Winfried 678 1996 Morrey and Campanato meet Besov, Lizorkin and Triebel. Zbl 1207.46002 Yuan, Wen; Sickel, Winfried; Yang, Dachun 216 2010 Hölder inequalities and sharp embeddings in function spaces of \(B_{pq}^ s\) and \(F_{pq}^ s\) type. Zbl 0820.46030 Sickel, W.; Triebel, H. 93 1995 Interpolation of Morrey-Campanato and related smoothness spaces. Zbl 1337.46030 Yuan, Wen; Sickel, Winfried; Yang, DaChun 64 2015 Smoothness spaces related to Morrey spaces: a survey. I. Zbl 1274.46074 Sickel, W. 63 2012 Smoothness spaces related to Morrey spaces – a survey. II. Zbl 1290.46028 Sickel, W. 45 2013 Tensor products of Sobolev-Besov spaces and applications to approximation from the hyperbolic cross. Zbl 1194.46056 Sickel, Winfried; Ullrich, Tino 45 2009 Approximation of mixed order Sobolev functions on the \(d\)-torus: asymptotics, preasymptotics, and \(d\)-dependence. Zbl 1485.47025 Kühn, Thomas; Sickel, Winfried; Ullrich, Tino 44 2015 On the trace problem for Lizorkin–Triebel spaces with mixed norms. Zbl 1154.46017 Johnsen, Jon; Sickel, Winfried 40 2008 Entropy numbers of embeddings of weighted Besov spaces. II. Zbl 1103.41027 Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek 38 2006 Anisotropic Lizorkin-Triebel spaces with mixed norms – traces on smooth boundaries. Zbl 1345.46030 Johnsen, J.; Munch Hansen, S.; Sickel, W. 35 2015 Superposition operators and functions of bounded \(p\)-variation. Zbl 1134.46015 Bourdaud, Gérard; Lanza de Cristoforis, Massimo; Sickel, Winfried 35 2006 The Smolyak algorithm, sampling on sparse grids and function spaces of dominating mixed smoothness. Zbl 1487.41025 Sickel, Winfried; Ullrich, Tino 32 2007 Pointwise multipliers of Lizorkin-Triebel spaces. Zbl 0954.46017 Sickel, Winfried 31 1999 Composition operators on function spaces with fractional order of smoothness. Zbl 1238.46023 Bourdaud, Gérard; Sickel, Winfried 31 2011 A direct proof of Sobolev embeddings for quasi-homogeneous Lizorkin-Triebel spaces with mixed norms. Zbl 1140.46014 Johnsen, Jon; Sickel, Winfried 30 2007 On pointwise multipliers for \(F_{p,q}^s (\mathbb{R}^n)\) in case \(\sigma_{p,q}< s< n/p\). Zbl 0956.46027 Sickel, Winfried 30 1999 Entropy numbers of embeddings of weighted Besov spaces. Zbl 1100.41015 Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek 28 2006 Approximation numbers of Sobolev embeddings-sharp constants and tractability. Zbl 1334.47028 Kühn, Thomas; Sickel, Winfried; Ullrich, Tino 28 2014 Composition operators on Lizorkin-Triebel spaces. Zbl 1219.47092 Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried 28 2010 Radial subspaces of Besov and Lizorkin-Triebel classes: Extended Strauss lemma and compactness of embeddings. Zbl 0990.46020 Sickel, Winfried; Skrzypczak, Leszek 27 2000 Spline interpolation on sparse grids. Zbl 1219.41012 Sickel, Winfried; Ullrich, Tino 27 2011 Optimal approximation of elliptic problems by linear and nonlinear mappings. II. Zbl 1102.65061 Dahlke, Stephan; Novak, Erich; Sickel, Winfried 26 2006 On the coincidence of certain approaches to smoothness spaces related to Morrey spaces. Zbl 1286.46042 Yuan, Wen; Sickel, Winfried; Yang, Dachun 24 2013 Optimal approximation of multivariate periodic Sobolev functions in the sup-norm. Zbl 1357.46028 Cobos, Fernando; Kühn, Thomas; Sickel, Winfried 24 2016 Sampling on energy-norm based sparse grids for the optimal recovery of Sobolev type functions in \(H^\gamma\). Zbl 1347.42003 Byrenheid, Glenn; Dũng, Dinh; Sickel, Winfried; Ullrich, Tino 23 2016 Entropy numbers of embeddings of weighted Besov spaces. III: Weights of logarithmic type. Zbl 1144.41006 Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek 22 2007 Complex interpolation of weighted Besov and Lizorkin-Triebel spaces. Zbl 1314.46048 Sickel, Winfried; Skrzypczak, Leszek; Vybíral, Jan 21 2014 Functional calculus on \(BMO\) and related spaces. Zbl 1007.47028 Bourdaud, Gérard; Lanza de Cristoforis, Massimo; Sickel, Winfried 20 2002 Sampling theory and function spaces. Zbl 0977.94010 Schmeisser, Hans-Jürgen; Sickel, Winfried 20 2000 A Sobolev non embedding. Zbl 1341.46024 Mironescu, Petru; Sickel, Winfried 20 2015 Spaces of functions of mixed smoothness and approximation from hyperbolic crosses. Zbl 1045.41009 Schmeisser, Hans-Jürgen; Sickel, Winfried 18 2004 Optimal approximation of elliptic problems by linear and nonlinear mappings. I. Zbl 1092.65044 Dahlke, Stephan; Novak, Erich; Sickel, Winfried 18 2006 Anisotropic, mixed-norm Lizorkin-Triebel spaces and diffeomorphic maps. Zbl 1305.46029 Johnsen, J.; Munch Hansen, S.; Sickel, W. 18 2014 Composition operators acting on Besov spaces on the real line. Zbl 1314.46038 Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried 16 2014 Characterisation by local means of anisotropic Lizorkin-Triebel spaces with mixed norms. Zbl 1284.46028 Johnsen, J.; Munch Hansen, S.; Sickel, W. 16 2013 Superposition operators and functions of bounded \(p\)-variation. II. Zbl 1090.47050 Bourdaud, Gérard; Lanza de Cristoforis, Massimo; Sickel, Winfried 15 2005 On the interplay of regularity and decay in case of radial functions I: Inhomogeneous spaces. Zbl 1247.46031 Sickel, Winfried; Skrzypczak, Leszek; Vybiral, Jan 15 2012 Changes of variable in Besov spaces. Zbl 0930.46026 Bourdaud, Gerard; Sickel, Winfried 14 1999 Pointwise multipliers of Besov spaces of smoothness zero and spaces of continuous functions. Zbl 1036.46024 Koch, Herbert; Sickel, Winfried 13 2002 Towards sharp superposition theorems in Besov and Lizorkin-Triebel spaces. Zbl 1149.46026 Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried 13 2008 Spline representations of functions in Besov-Triebel-Lizorkin spaces on \({\mathbb{R}}^ n\). Zbl 0731.41014 Sickel, Winfried 13 1990 Periodic spaces and relations to strong summability of multiple Fourier series. Zbl 0614.42002 Sickel, Winfried 13 1985 Best \(m\)-term approximation and Lizorkin-Triebel spaces. Zbl 1229.41028 Hansen, Markus; Sickel, Winfried 13 2011 Traces of anisotropic Besov-Lizorkin-Triebel spaces—a complete treatment of the borderline cases. Zbl 0970.46019 Farkas, Walter; Johnsen, Jon; Sickel, Winfried 12 2000 Traces of vector-valued Sobolev spaces. Zbl 1254.46038 Scharf, Benjamin; Schmeißer, Hans-Jürgen; Sickel, Winfried 12 2012 The characterization of the regularity of the Jacobian determinant in the framework of potential spaces. Zbl 0923.42016 Sickel, Winfried; Youssfi, Abdellah 11 1999 Entropy numbers of Sobolev embeddings of radial Besov spaces. Zbl 1047.47016 Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek 11 2003 On the interplay of regularity and decay in case of radial functions. II. Homogeneous spaces. Zbl 1254.46039 Sickel, Winfried; Skrzypczak, Leszek 11 2012 Vector-valued Sobolev spaces and Gagliardo–Nirenberg inequalities. Zbl 1099.46027 Schmeißer, Hans-Jürgen; Sickel, Winfried 10 2005 Best \(m\)-term approximation and Sobolev-Besov spaces of dominating mixed smoothness – the case of compact embeddings. Zbl 1251.41005 Hansen, Markus; Sickel, Winfried 10 2012 Necessary conditions on composition operators acting between Besov spaces. The case \(1<s<n/p\). III. Zbl 0914.46030 Sickel, Winfried 9 1998 Several types of intermediate Besov-Orlicz spaces. Zbl 0992.46028 Pick, Luboš; Sickel, Winfried 9 1993 Best \(m\)-term approximation and tensor product of Sobolev and Besov spaces – the case of non-compact embeddings. Zbl 1234.41010 Hansen, Markus; Sickel, Winfried 9 2010 The radial lemma of Strauss in the context of Morrey spaces. Zbl 1302.46025 Sickel, Winfried; Yang, Dachun; Yuan, Wen 9 2014 Hyperbolic equations, function spaces with exponential weights and Nemytskij operators. Zbl 1225.47077 Bourdaud, Gérard; Reissig, M.; Sickel, Winfried 9 2003 Characterizations of Besov-type and Triebel-Lizorkin-type spaces via averages on balls. Zbl 1372.42020 Zhuo, Ciqiang; Sickel, Winfried; Yang, Dachun; Yuan, Wen 9 2017 Besov regularity for the Poisson equation in smooth and polyhedral cones. Zbl 1169.35018 Dahlke, Stephan; Sickel, Winfried 8 2009 Superposition of functions in Sobolev spaces of fractional order. A survey. Zbl 0792.47062 Sickel, Winfried 8 1992 Necessary conditions on composition operators acting on Sobolev spaces of fractional order. The critical case \(1<s<n/p\). Zbl 0898.46032 Sickel, Winfried 8 1997 An optimal symbolic calculus on Besov algebras. Zbl 1117.46033 Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried 8 2006 On Besov regularity of solutions to nonlinear elliptic partial differential equations. Zbl 1275.41021 Dahlke, Stephan; Sickel, Winfried 8 2013 On strong summability of multiple Fourier series and smoothness properties of functions. Zbl 0497.42007 Schmeisser, Hans-Juergen; Sickel, Winfried 8 1982 How anisotropic mixed smoothness affects the decay of singular numbers for Sobolev embeddings. Zbl 1470.46058 Kühn, Thomas; Sickel, Winfried; Ullrich, Tino 8 2021 Conditions on composition operators which map a space of Triebel-Lizorkin type in a Sobolev space. The case \(1<s<n/p\). II. Zbl 0912.46038 Sickel, Winfried 7 1998 On strong summability of multiple Fourier series and approximation of periodic functions. Zbl 0642.42015 Schmeisser, Hans-Jürgen; Sickel, Winfried 7 1987 Non-analytic superposition results on modulation spaces with subexponential weights. Zbl 1360.47012 Reich, Maximilian; Reissig, Michael; Sickel, Winfried 7 2016 Complex interpolation of Lizorkin-Triebel-Morrey spaces on domains. Zbl 1478.46017 Zhuo, Ciqiang; Hovemann, Marc; Sickel, Winfried 7 2020 The characterization of the regularity of the Jacobian determinant in the framework of Bessel potential spaces on domains. Zbl 0957.46028 Sickel, Winfried; Youssfi, Abdellah 6 1999 Characterization of periodic function spaces via means of Abel-Poisson and Bessel-potential type. Zbl 0704.42006 Schmeisser, H. J.; Sickel, W. 6 1990 Compact embeddings of radial and subradial subspaces of some Besov-type spaces related to Morrey spaces. Zbl 1292.46023 Yuan, Wen; Sickel, Winfried; Yang, Dachun 6 2013 On a problem of Jaak Peetre concerning pointwise multipliers of Besov spaces. Zbl 1404.46035 Nguyen, Van Kien; Sickel, Winfried 6 2018 Some remarks on trigonometric interpolation on the \(n\)-torus. Zbl 0768.41016 Sickel, W. 6 1991 A remark on orthonormal bases of compactly supported wavelets in Triebel- Lizorkin spaces. The case \(0<p, q<\infty\). Zbl 0755.42018 Sickel, Winfried 6 1991 Interpolation on sparse grids and tensor products of Nikol’skij-Besov spaces. Zbl 0945.41002 Sickel, Winfried; Sprengel, Frauke 5 1999 Composition operators acting on Sobolev spaces of fractional order. — A survey on sufficient and necessary conditions. Zbl 0896.47052 Sickel, Winfried 5 1996 Weyl numbers of embeddings of tensor product Besov spaces. Zbl 1323.47018 Nguyen, Van Kien; Sickel, Winfried 5 2015 On pointwise multipliers in Besov-Triebel-Lizorkin spaces. Zbl 0666.46040 Sickel, Winfried 5 1987 Strong summability of Fourier series and generalized Morrey spaces. Zbl 1399.42009 Baituyakova, Z.; Sickel, W. 5 2017 Pointwise multipliers for Sobolev and Besov spaces of dominating mixed smoothness. Zbl 1382.46023 Nguyen Van Kien; Sickel, Winfried 5 2017 Characterization of Besov-Triebel-Lizorkin spaces via approximation by Whittaker’s cardinal series and related unconditional Schauder bases. Zbl 0762.41033 Sickel, Winfried 5 1992 On Besov regularity of solutions to nonlinear elliptic partial differential equations. Zbl 1440.35133 Dahlke, Stephan; Hansen, Markus; Schneider, Cornelia; Sickel, Winfried 5 2020 The Haar system in Besov-type spaces. Zbl 1443.42020 Yuan, Wen; Sickel, Winfried; Yang, Dachun 5 2020 Pointwise multiplication in Triebel-Lizorkin spaces. Zbl 0768.46022 Sickel, Winfried 5 1993 On the regularity of characteristic functions. Zbl 1472.46037 Sickel, Winfried 5 2021 On boundedness of superposition operators in spaces of Triebel-Lizorkin type. Zbl 0693.46039 Sickel, Winfried 4 1989 Multiplication and composition in weighted modulation spaces. Zbl 1391.46042 Reich, Maximilian; Sickel, Winfried 4 2016 Isotropic and dominating mixed Besov spaces: a comparison. Zbl 1395.46029 Nguyen, Van Kien; Sickel, Winfried 4 2017 Pointwise multipliers for Besov spaces of dominating mixed smoothness. II. Zbl 1402.46027 Nguyen, Van Kien; Sickel, Winfried 4 2017 \(s\)-numbers of embeddings of weighted Wiener algebras. Zbl 1504.41034 Nguyen, Van Dung; Nguyen, Van Kien; Sickel, Winfried 4 2022 A necessary condition for composition in Besov spaces. Zbl 1448.46028 Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried 4 2020 Traces of functions with a dominating mixed derivative in \(\mathbb R^3\). Zbl 1174.42027 Vybíral, Jan; Sickel, Winfried 3 2007 Approximation from sparse grids and function spaces of dominating mixed smoothness. Zbl 1110.41009 Sickel, Winfried 3 2006 Regularity for Robin boundary problems of Laplace equations and Hardy spaces on \(C^1\) and (semi-)convex domains. Zbl 1460.35089 Yang, Sibei; Sickel, Winfried; Yang, Dachun; Yuan, Wen 3 2021 On optimal approximation in periodic Besov spaces. Zbl 1421.42002 Cobos, Fernando; Kühn, Thomas; Sickel, Winfried 3 2019 Some error estimates for periodic interpolation of functions from Besov spaces. Zbl 0955.41003 Sickel, Winfried; Sprengel, Frauke 2 1999 Optimal approximation of elliptic problems by linear and nonlinear mappings. III: Frames. Zbl 1129.65038 Dahlke, Stephan; Novak, Erich; Sickel, Winfried 2 2007 Marcinkiewicz-Zygmund-type inequalities, trigonometric interpolation on non-uniform grids and unconditional Schauder bases in Besov spaces on the torus. Zbl 0917.42003 Runovski, K. V.; Sickel, W. 2 1997 Strong summability of Fourier series and Morrey spaces. Zbl 1299.42009 Sautbekova, Merey; Sickel, Winfried 2 2014 Some remarks on strong approximation by Cesàro means. Zbl 0687.42007 Schmeisser, Hans-Jürgen; Sickel, Winfried 2 1989 Characterizations of pointwise multipliers of Besov spaces in endpoint cases with an application to the duality principle. Zbl 1539.46023 Li, Yinqin; Sickel, Winfried; Yang, Dachun; Yuan, Wen 1 2024 Pointwise multipliers for Besov spaces \(B^{0,b}_{p,\infty}({\mathbb{R}}^n)\) with only logarithmic smoothness. Zbl 07818513 Li, Ziwei; Sickel, Winfried; Yang, Dachun; Yuan, Wen 1 2024 \(s\)-numbers of embeddings of weighted Wiener algebras. Zbl 1504.41034 Nguyen, Van Dung; Nguyen, Van Kien; Sickel, Winfried 4 2022 How anisotropic mixed smoothness affects the decay of singular numbers for Sobolev embeddings. Zbl 1470.46058 Kühn, Thomas; Sickel, Winfried; Ullrich, Tino 8 2021 On the regularity of characteristic functions. Zbl 1472.46037 Sickel, Winfried 5 2021 Regularity for Robin boundary problems of Laplace equations and Hardy spaces on \(C^1\) and (semi-)convex domains. Zbl 1460.35089 Yang, Sibei; Sickel, Winfried; Yang, Dachun; Yuan, Wen 3 2021 Complex interpolation of Lizorkin-Triebel-Morrey spaces on domains. Zbl 1478.46017 Zhuo, Ciqiang; Hovemann, Marc; Sickel, Winfried 7 2020 On Besov regularity of solutions to nonlinear elliptic partial differential equations. Zbl 1440.35133 Dahlke, Stephan; Hansen, Markus; Schneider, Cornelia; Sickel, Winfried 5 2020 The Haar system in Besov-type spaces. Zbl 1443.42020 Yuan, Wen; Sickel, Winfried; Yang, Dachun 5 2020 A necessary condition for composition in Besov spaces. Zbl 1448.46028 Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried 4 2020 Besov-type spaces and differences. Zbl 1463.46057 Hovemann, Marc; Sickel, Winfried 2 2020 On optimal approximation in periodic Besov spaces. Zbl 1421.42002 Cobos, Fernando; Kühn, Thomas; Sickel, Winfried 3 2019 On a problem of Jaak Peetre concerning pointwise multipliers of Besov spaces. Zbl 1404.46035 Nguyen, Van Kien; Sickel, Winfried 6 2018 Characterizations of Besov-type and Triebel-Lizorkin-type spaces via averages on balls. Zbl 1372.42020 Zhuo, Ciqiang; Sickel, Winfried; Yang, Dachun; Yuan, Wen 9 2017 Strong summability of Fourier series and generalized Morrey spaces. Zbl 1399.42009 Baituyakova, Z.; Sickel, W. 5 2017 Pointwise multipliers for Sobolev and Besov spaces of dominating mixed smoothness. Zbl 1382.46023 Nguyen Van Kien; Sickel, Winfried 5 2017 Isotropic and dominating mixed Besov spaces: a comparison. Zbl 1395.46029 Nguyen, Van Kien; Sickel, Winfried 4 2017 Pointwise multipliers for Besov spaces of dominating mixed smoothness. II. Zbl 1402.46027 Nguyen, Van Kien; Sickel, Winfried 4 2017 Isotropic and dominating mixed Lizorkin-Triebel spaces – a comparison. Zbl 1399.46048 Nguyen, V. K.; Sickel, W. 1 2017 Optimal approximation of multivariate periodic Sobolev functions in the sup-norm. Zbl 1357.46028 Cobos, Fernando; Kühn, Thomas; Sickel, Winfried 24 2016 Sampling on energy-norm based sparse grids for the optimal recovery of Sobolev type functions in \(H^\gamma\). Zbl 1347.42003 Byrenheid, Glenn; Dũng, Dinh; Sickel, Winfried; Ullrich, Tino 23 2016 Non-analytic superposition results on modulation spaces with subexponential weights. Zbl 1360.47012 Reich, Maximilian; Reissig, Michael; Sickel, Winfried 7 2016 Multiplication and composition in weighted modulation spaces. Zbl 1391.46042 Reich, Maximilian; Sickel, Winfried 4 2016 Interpolation of Morrey-Campanato and related smoothness spaces. Zbl 1337.46030 Yuan, Wen; Sickel, Winfried; Yang, DaChun 64 2015 Approximation of mixed order Sobolev functions on the \(d\)-torus: asymptotics, preasymptotics, and \(d\)-dependence. Zbl 1485.47025 Kühn, Thomas; Sickel, Winfried; Ullrich, Tino 44 2015 Anisotropic Lizorkin-Triebel spaces with mixed norms – traces on smooth boundaries. Zbl 1345.46030 Johnsen, J.; Munch Hansen, S.; Sickel, W. 35 2015 A Sobolev non embedding. Zbl 1341.46024 Mironescu, Petru; Sickel, Winfried 20 2015 Weyl numbers of embeddings of tensor product Besov spaces. Zbl 1323.47018 Nguyen, Van Kien; Sickel, Winfried 5 2015 Approximation numbers of Sobolev embeddings-sharp constants and tractability. Zbl 1334.47028 Kühn, Thomas; Sickel, Winfried; Ullrich, Tino 28 2014 Complex interpolation of weighted Besov and Lizorkin-Triebel spaces. Zbl 1314.46048 Sickel, Winfried; Skrzypczak, Leszek; Vybíral, Jan 21 2014 Anisotropic, mixed-norm Lizorkin-Triebel spaces and diffeomorphic maps. Zbl 1305.46029 Johnsen, J.; Munch Hansen, S.; Sickel, W. 18 2014 Composition operators acting on Besov spaces on the real line. Zbl 1314.46038 Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried 16 2014 The radial lemma of Strauss in the context of Morrey spaces. Zbl 1302.46025 Sickel, Winfried; Yang, Dachun; Yuan, Wen 9 2014 Strong summability of Fourier series and Morrey spaces. Zbl 1299.42009 Sautbekova, Merey; Sickel, Winfried 2 2014 Subradial functions and compact embeddings. Zbl 1320.46032 Sickel, Winfried; Skrzypczak, Leszek 2 2014 The characterization of radial subspaces of Besov and Lizorkin-Triebel spaces by differences. Zbl 1323.46028 Sickel, Winfried; Skrzypczak, Leszek; Vybíral, Jan 1 2014 Smoothness spaces related to Morrey spaces – a survey. II. Zbl 1290.46028 Sickel, W. 45 2013 On the coincidence of certain approaches to smoothness spaces related to Morrey spaces. Zbl 1286.46042 Yuan, Wen; Sickel, Winfried; Yang, Dachun 24 2013 Characterisation by local means of anisotropic Lizorkin-Triebel spaces with mixed norms. Zbl 1284.46028 Johnsen, J.; Munch Hansen, S.; Sickel, W. 16 2013 On Besov regularity of solutions to nonlinear elliptic partial differential equations. Zbl 1275.41021 Dahlke, Stephan; Sickel, Winfried 8 2013 Compact embeddings of radial and subradial subspaces of some Besov-type spaces related to Morrey spaces. Zbl 1292.46023 Yuan, Wen; Sickel, Winfried; Yang, Dachun 6 2013 Smoothness spaces related to Morrey spaces: a survey. I. Zbl 1274.46074 Sickel, W. 63 2012 On the interplay of regularity and decay in case of radial functions I: Inhomogeneous spaces. Zbl 1247.46031 Sickel, Winfried; Skrzypczak, Leszek; Vybiral, Jan 15 2012 Traces of vector-valued Sobolev spaces. Zbl 1254.46038 Scharf, Benjamin; Schmeißer, Hans-Jürgen; Sickel, Winfried 12 2012 On the interplay of regularity and decay in case of radial functions. II. Homogeneous spaces. Zbl 1254.46039 Sickel, Winfried; Skrzypczak, Leszek 11 2012 Best \(m\)-term approximation and Sobolev-Besov spaces of dominating mixed smoothness – the case of compact embeddings. Zbl 1251.41005 Hansen, Markus; Sickel, Winfried 10 2012 Composition operators on function spaces with fractional order of smoothness. Zbl 1238.46023 Bourdaud, Gérard; Sickel, Winfried 31 2011 Spline interpolation on sparse grids. Zbl 1219.41012 Sickel, Winfried; Ullrich, Tino 27 2011 Best \(m\)-term approximation and Lizorkin-Triebel spaces. Zbl 1229.41028 Hansen, Markus; Sickel, Winfried 13 2011 Morrey and Campanato meet Besov, Lizorkin and Triebel. Zbl 1207.46002 Yuan, Wen; Sickel, Winfried; Yang, Dachun 216 2010 Composition operators on Lizorkin-Triebel spaces. Zbl 1219.47092 Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried 28 2010 Best \(m\)-term approximation and tensor product of Sobolev and Besov spaces – the case of non-compact embeddings. Zbl 1234.41010 Hansen, Markus; Sickel, Winfried 9 2010 Optimal approximation of elliptic problems by linear and nonlinear mappings. IV: Errors in \(L_{2}\) and other norms. Zbl 1184.65056 Dahlke, Stephan; Novak, Erich; Sickel, Winfried 2 2010 Tensor products of Sobolev-Besov spaces and applications to approximation from the hyperbolic cross. Zbl 1194.46056 Sickel, Winfried; Ullrich, Tino 45 2009 Besov regularity for the Poisson equation in smooth and polyhedral cones. Zbl 1169.35018 Dahlke, Stephan; Sickel, Winfried 8 2009 On the trace problem for Lizorkin–Triebel spaces with mixed norms. Zbl 1154.46017 Johnsen, Jon; Sickel, Winfried 40 2008 Towards sharp superposition theorems in Besov and Lizorkin-Triebel spaces. Zbl 1149.46026 Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried 13 2008 The Smolyak algorithm, sampling on sparse grids and function spaces of dominating mixed smoothness. Zbl 1487.41025 Sickel, Winfried; Ullrich, Tino 32 2007 A direct proof of Sobolev embeddings for quasi-homogeneous Lizorkin-Triebel spaces with mixed norms. Zbl 1140.46014 Johnsen, Jon; Sickel, Winfried 30 2007 Entropy numbers of embeddings of weighted Besov spaces. III: Weights of logarithmic type. Zbl 1144.41006 Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek 22 2007 Traces of functions with a dominating mixed derivative in \(\mathbb R^3\). Zbl 1174.42027 Vybíral, Jan; Sickel, Winfried 3 2007 Optimal approximation of elliptic problems by linear and nonlinear mappings. III: Frames. Zbl 1129.65038 Dahlke, Stephan; Novak, Erich; Sickel, Winfried 2 2007 Entropy numbers of embeddings of weighted Besov spaces. II. Zbl 1103.41027 Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek 38 2006 Superposition operators and functions of bounded \(p\)-variation. Zbl 1134.46015 Bourdaud, Gérard; Lanza de Cristoforis, Massimo; Sickel, Winfried 35 2006 Entropy numbers of embeddings of weighted Besov spaces. Zbl 1100.41015 Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek 28 2006 Optimal approximation of elliptic problems by linear and nonlinear mappings. II. Zbl 1102.65061 Dahlke, Stephan; Novak, Erich; Sickel, Winfried 26 2006 Optimal approximation of elliptic problems by linear and nonlinear mappings. I. Zbl 1092.65044 Dahlke, Stephan; Novak, Erich; Sickel, Winfried 18 2006 An optimal symbolic calculus on Besov algebras. Zbl 1117.46033 Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried 8 2006 Approximation from sparse grids and function spaces of dominating mixed smoothness. Zbl 1110.41009 Sickel, Winfried 3 2006 Superposition operators and functions of bounded \(p\)-variation. II. Zbl 1090.47050 Bourdaud, Gérard; Lanza de Cristoforis, Massimo; Sickel, Winfried 15 2005 Vector-valued Sobolev spaces and Gagliardo–Nirenberg inequalities. Zbl 1099.46027 Schmeißer, Hans-Jürgen; Sickel, Winfried 10 2005 Spaces of functions of mixed smoothness and approximation from hyperbolic crosses. Zbl 1045.41009 Schmeisser, Hans-Jürgen; Sickel, Winfried 18 2004 Entropy numbers of Sobolev embeddings of radial Besov spaces. Zbl 1047.47016 Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek 11 2003 Hyperbolic equations, function spaces with exponential weights and Nemytskij operators. Zbl 1225.47077 Bourdaud, Gérard; Reissig, M.; Sickel, Winfried 9 2003 Approximate recovery of functions and Besov spaces of dominating mixed smoothness. Zbl 1082.42004 Sickel, Winfried 1 2003 Functional calculus on \(BMO\) and related spaces. Zbl 1007.47028 Bourdaud, Gérard; Lanza de Cristoforis, Massimo; Sickel, Winfried 20 2002 Pointwise multipliers of Besov spaces of smoothness zero and spaces of continuous functions. Zbl 1036.46024 Koch, Herbert; Sickel, Winfried 13 2002 Radial subspaces of Besov and Lizorkin-Triebel classes: Extended Strauss lemma and compactness of embeddings. Zbl 0990.46020 Sickel, Winfried; Skrzypczak, Leszek 27 2000 Sampling theory and function spaces. Zbl 0977.94010 Schmeisser, Hans-Jürgen; Sickel, Winfried 20 2000 Traces of anisotropic Besov-Lizorkin-Triebel spaces—a complete treatment of the borderline cases. Zbl 0970.46019 Farkas, Walter; Johnsen, Jon; Sickel, Winfried 12 2000 Pointwise multipliers of Lizorkin-Triebel spaces. Zbl 0954.46017 Sickel, Winfried 31 1999 On pointwise multipliers for \(F_{p,q}^s (\mathbb{R}^n)\) in case \(\sigma_{p,q}< s< n/p\). Zbl 0956.46027 Sickel, Winfried 30 1999 Changes of variable in Besov spaces. Zbl 0930.46026 Bourdaud, Gerard; Sickel, Winfried 14 1999 The characterization of the regularity of the Jacobian determinant in the framework of potential spaces. Zbl 0923.42016 Sickel, Winfried; Youssfi, Abdellah 11 1999 The characterization of the regularity of the Jacobian determinant in the framework of Bessel potential spaces on domains. Zbl 0957.46028 Sickel, Winfried; Youssfi, Abdellah 6 1999 Interpolation on sparse grids and tensor products of Nikol’skij-Besov spaces. Zbl 0945.41002 Sickel, Winfried; Sprengel, Frauke 5 1999 Some error estimates for periodic interpolation of functions from Besov spaces. Zbl 0955.41003 Sickel, Winfried; Sprengel, Frauke 2 1999 Necessary conditions on composition operators acting between Besov spaces. The case \(1<s<n/p\). III. Zbl 0914.46030 Sickel, Winfried 9 1998 Conditions on composition operators which map a space of Triebel-Lizorkin type in a Sobolev space. The case \(1<s<n/p\). II. Zbl 0912.46038 Sickel, Winfried 7 1998 Necessary conditions on composition operators acting on Sobolev spaces of fractional order. The critical case \(1<s<n/p\). Zbl 0898.46032 Sickel, Winfried 8 1997 Marcinkiewicz-Zygmund-type inequalities, trigonometric interpolation on non-uniform grids and unconditional Schauder bases in Besov spaces on the torus. Zbl 0917.42003 Runovski, K. V.; Sickel, W. 2 1997 Sobolev spaces of fractional order, Nemytskij operators and nonlinear partial differential equations. Zbl 0873.35001 Runst, Thomas; Sickel, Winfried 678 1996 Composition operators acting on Sobolev spaces of fractional order. — A survey on sufficient and necessary conditions. Zbl 0896.47052 Sickel, Winfried 5 1996 Homeomorphisms which act on Besov spaces. Zbl 0879.47013 Bourdaud, Gérard; Sickel, Winfried 1 1996 Hölder inequalities and sharp embeddings in function spaces of \(B_{pq}^ s\) and \(F_{pq}^ s\) type. Zbl 0820.46030 Sickel, W.; Triebel, H. 93 1995 Several types of intermediate Besov-Orlicz spaces. Zbl 0992.46028 Pick, Luboš; Sickel, Winfried 9 1993 Pointwise multiplication in Triebel-Lizorkin spaces. Zbl 0768.46022 Sickel, Winfried 5 1993 Superposition of functions in Sobolev spaces of fractional order. A survey. Zbl 0792.47062 Sickel, Winfried 8 1992 Characterization of Besov-Triebel-Lizorkin spaces via approximation by Whittaker’s cardinal series and related unconditional Schauder bases. Zbl 0762.41033 Sickel, Winfried 5 1992 Some remarks on trigonometric interpolation on the \(n\)-torus. Zbl 0768.41016 Sickel, W. 6 1991 ...and 11 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,502 Authors 80 Yang, Dachun 64 Sickel, Winfried 60 Yuan, Wen 40 Skrzypczak, Leszek 35 Haroske, Dorothee D. 32 Ullrich, Tino 30 Sawano, Yoshihiro 23 Drihem, Douadi 23 Moussai, Madani 23 Triebel, Hans 22 Schikorra, Armin 21 Dahlke, Stephan 19 Mitrea, Marius 18 Bourdaud, Gérard 17 Schneider, Cornelia 16 Reissig, Michael 14 Hakim, Denny Ivanal 14 Kühn, Thomas 14 Vybíral, Jan 14 Wu, Jiahong 13 Dinh Dũng 13 Domingues de Moura, Susana 13 Schmeisser, Hans-Jürgen 12 Danchin, Raphaël 11 Johnsen, Jon 11 Mitrea, Irina 11 Nguyen, Van Kien 11 Taira, Kazuaki 11 Weimar, Markus 11 Zhuo, Ciqiang 10 Georgiadis, Athanasios G. 10 Ho, Kwok-Pun 10 Kämmerer, Lutz 10 Kolomoitsev, Yurii S. 10 Li, Pengtao 10 Yang, Qixiang 9 Burenkov, Viktor Ivanovich 9 Hausenblas, Erika 9 Liu, Jun 9 Mironescu, Petru 9 Mitrea, Dorina 8 Caetano, António M. 8 Nielsen, Morten 8 Novak, Erich 8 Potts, Daniel 8 Shang, Haifeng 8 Skopina, Maria A. 8 Zhang, Yangyang 7 Abels, Helmut 7 Baladi, Viviane 7 Cleanthous, Galatia 7 Fu, Zunwei 7 Huang, Long 7 Lanza de Cristoforis, Massimo 7 Leopold, Hans-Gerd 7 Liu, Liguang 7 Mikhailov, Sergey E. 7 Runovski, Konstantin Vsevolodovich 7 Sun, Wenchang 7 Van Schaftingen, Jean 7 Wang, Heping 7 Wu, Gang 6 Artamonov, Sergeĭ Yurievich 6 Brauer, Uwe 6 Cobos, Fernando 6 Georgiev, Vladimir S. 6 Hansen, Markus 6 Hovemann, Marc 6 Issoglio, Elena 6 Karp, Lavi 6 Krieg, David 6 Prats, Martí 6 Seeger, Andreas 6 Ullrich, Mario 6 Veraar, Mark C. 6 Xu, Xiaojing 6 Zhu, RongChan 5 Almeida, Alexandre 5 Bie, Qunyi 5 Blatt, Simon 5 Blömker, Dirk 5 Bousquet, Pierre 5 Brézis, Haïm 5 Da Lio, Francesca 5 Deya, Aurélien 5 El Baraka, Azzeddine 5 Fang, Gensun 5 Gonçalves, Helena F. 5 Griebel, Michael 5 Kempka, Henning 5 Kohr, Mirela 5 Lindemulder, Nick 5 Nakai, Eiichi 5 Nazarov, Alexander I. 5 Noi, Takahiro 5 Rafeiro, Humberto 5 Reiter, Philipp 5 Russ, Emmanuel 5 Samko, Stefan Grigor’evich 5 Tintarev, Kyril ...and 1,402 more Authors all top 5 Cited in 297 Serials 66 Mathematische Nachrichten 61 Journal of Functional Analysis 54 Journal of Complexity 53 Journal of Approximation Theory 50 Journal of Mathematical Analysis and Applications 45 Journal of Differential Equations 42 Nonlinear Analysis. 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Second Series 5 Annals of Functional Analysis 5 Stochastic and Partial Differential Equations. Analysis and Computations 4 Journal of Statistical Physics 4 Acta Mathematica Vietnamica 4 Annales de l’Institut Fourier 4 Czechoslovak Mathematical Journal 4 Functiones et Approximatio. Commentarii Mathematici 4 Integral Equations and Operator Theory 4 Results in Mathematics 4 Siberian Mathematical Journal 4 Chinese Annals of Mathematics. Series B 4 Acta Applicandae Mathematicae 4 Journal of Scientific Computing 4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 Communications in Partial Differential Equations 4 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 Journal of Dynamics and Differential Equations 4 Applied Mathematics. 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Zeitschrift für Angewandte Mathematik und Mechanik 4 Journal of Hyperbolic Differential Equations 4 Frontiers of Mathematics in China 4 Inverse Problems and Imaging 4 Electronic Journal of Statistics 4 Bulletin of Mathematical Sciences 3 Ukrainian Mathematical Journal ...and 197 more Serials all top 5 Cited in 48 Fields 673 Functional analysis (46-XX) 593 Partial differential equations (35-XX) 503 Harmonic analysis on Euclidean spaces (42-XX) 243 Operator theory (47-XX) 186 Approximations and expansions (41-XX) 155 Fluid mechanics (76-XX) 152 Numerical analysis (65-XX) 102 Probability theory and stochastic processes (60-XX) 93 Real functions (26-XX) 63 Functions of a complex variable (30-XX) 42 Global analysis, analysis on manifolds (58-XX) 37 Calculus of variations and optimal control; optimization (49-XX) 32 Mechanics of deformable solids (74-XX) 29 Dynamical systems and ergodic theory (37-XX) 28 Information and communication theory, circuits (94-XX) 23 Computer science (68-XX) 22 Statistics (62-XX) 19 Biology and other natural sciences (92-XX) 17 Potential theory (31-XX) 17 Abstract harmonic analysis (43-XX) 17 Statistical mechanics, structure of matter (82-XX) 16 Measure and integration (28-XX) 16 Integral equations (45-XX) 14 Several complex variables and analytic spaces (32-XX) 13 Differential geometry (53-XX) 12 Quantum theory (81-XX) 11 Ordinary differential equations (34-XX) 9 Systems theory; control (93-XX) 8 Integral transforms, operational calculus (44-XX) 8 Manifolds and cell complexes (57-XX) 8 Classical thermodynamics, heat transfer (80-XX) 7 Geophysics (86-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Special functions (33-XX) 6 Optics, electromagnetic theory (78-XX) 5 Difference and functional equations (39-XX) 4 Topological groups, Lie groups (22-XX) 4 Relativity and gravitational theory (83-XX) 3 Convex and discrete geometry (52-XX) 3 Algebraic topology (55-XX) 3 Mechanics of particles and systems (70-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Sequences, series, summability (40-XX) 2 General topology (54-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year