Edit Profile (opens in new tab) Sickel, Winfried Compute Distance To: Compute Author ID: sickel.winfried Published as: Sickel, Winfried; Sickel, W. External Links: MGP Documents Indexed: 113 Publications since 1980, including 3 Books Reviewing Activity: 21 Reviews Co-Authors: 40 Co-Authors with 89 Joint Publications 683 Co-Co-Authors all top 5 Co-Authors 24 single-authored 12 Bourdaud, Gérard 10 Skrzypczak, Leszek 9 Kühn, Thomas 9 Schmeisser, Hans-Jürgen 8 Yang, Dachun 8 Yuan, Wen 7 Dahlke, Stephan 7 Ullrich, Tino 6 Johnsen, Jon 6 Nguyen, Van Kien 5 Moussai, Madani 4 Hansen, Markus 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 Sprengel, Frauke 2 Youssfi, Abdellah 2 Zhuo, Ciqiang 1 Baituyakova, Zhuldyz 1 Byrenheid, Glenn 1 Dinh Dũng 1 Farkas, Walter 1 Koch, Herbert 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 Schneider, Cornelia 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 Zeitschrift für Analysis und ihre Anwendungen 4 Constructive Approximation 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Journal of Functional Analysis 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 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 Proceedings of the Steklov Institute of Mathematics 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 93 Functional analysis (46-XX) 43 Harmonic analysis on Euclidean spaces (42-XX) 37 Operator theory (47-XX) 27 Approximations and expansions (41-XX) 10 Partial differential equations (35-XX) 10 Numerical analysis (65-XX) 4 Real functions (26-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 102 Publications have been cited 1,749 times in 1,086 Documents Cited by ▼ Year ▼ Sobolev spaces of fractional order, Nemytskij operators and nonlinear partial differential equations. Zbl 0873.35001Runst, Thomas; Sickel, Winfried 473 1996 Morrey and Campanato meet Besov, Lizorkin and Triebel. Zbl 1207.46002Yuan, Wen; Sickel, Winfried; Yang, Dachun 149 2010 Hölder inequalities and sharp embeddings in function spaces of \(B_{pq}^ s\) and \(F_{pq}^ s\) type. Zbl 0820.46030Sickel, W.; Triebel, H. 72 1995 Interpolation of Morrey-Campanato and related smoothness spaces. Zbl 1337.46030Yuan, Wen; Sickel, Winfried; Yang, DaChun 44 2015 Smoothness spaces related to Morrey spaces: a survey. I. Zbl 1274.46074Sickel, W. 42 2012 Tensor products of Sobolev-Besov spaces and applications to approximation from the hyperbolic cross. Zbl 1194.46056Sickel, Winfried; Ullrich, Tino 39 2009 Smoothness spaces related to Morrey spaces – a survey. II. Zbl 1290.46028Sickel, W. 33 2013 Entropy numbers of embeddings of weighted Besov spaces. II. Zbl 1103.41027Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek 32 2006 Approximation of mixed order Sobolev functions on the \(d\)-torus: asymptotics, preasymptotics, and \(d\)-dependence. Zbl 1485.47025Kühn, Thomas; Sickel, Winfried; Ullrich, Tino 30 2015 On the trace problem for Lizorkin–Triebel spaces with mixed norms. Zbl 1154.46017Johnsen, Jon; Sickel, Winfried 30 2008 Superposition operators and functions of bounded \(p\)-variation. Zbl 1134.46015Bourdaud, Gérard; Lanza de Cristoforis, Massimo; Sickel, Winfried 28 2006 Spline interpolation on sparse grids. Zbl 1219.41012Sickel, Winfried; Ullrich, Tino 25 2011 Entropy numbers of embeddings of weighted Besov spaces. Zbl 1100.41015Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek 24 2006 A direct proof of Sobolev embeddings for quasi-homogeneous Lizorkin-Triebel spaces with mixed norms. Zbl 1140.46014Johnsen, Jon; Sickel, Winfried 23 2007 Composition operators on function spaces with fractional order of smoothness. Zbl 1238.46023Bourdaud, Gérard; Sickel, Winfried 23 2011 Radial subspaces of Besov and Lizorkin-Triebel classes: Extended Strauss lemma and compactness of embeddings. Zbl 0990.46020Sickel, Winfried; Skrzypczak, Leszek 23 2000 Approximation numbers of Sobolev embeddings-sharp constants and tractability. Zbl 1334.47028Kühn, Thomas; Sickel, Winfried; Ullrich, Tino 23 2014 Optimal approximation of elliptic problems by linear and nonlinear mappings. II. Zbl 1102.65061Dahlke, Stephan; Novak, Erich; Sickel, Winfried 23 2006 Anisotropic Lizorkin-Triebel spaces with mixed norms – traces on smooth boundaries. Zbl 1345.46030Johnsen, J.; Munch Hansen, S.; Sickel, W. 23 2015 Entropy numbers of embeddings of weighted Besov spaces. III: Weights of logarithmic type. Zbl 1144.41006Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek 21 2007 On the coincidence of certain approaches to smoothness spaces related to Morrey spaces. Zbl 1286.46042Yuan, Wen; Sickel, Winfried; Yang, Dachun 20 2013 On pointwise multipliers for \(F_{p,q}^s (\mathbb{R}^n)\) in case \(\sigma_{p,q}< s< n/p\). Zbl 0956.46027Sickel, Winfried 19 1999 Pointwise multipliers of Lizorkin-Triebel spaces. Zbl 0954.46017Sickel, Winfried 18 1999 Sampling on energy-norm based sparse grids for the optimal recovery of Sobolev type functions in \(H^\gamma\). Zbl 1347.42003Byrenheid, Glenn; Dũng, Dinh; Sickel, Winfried; Ullrich, Tino 18 2016 Composition operators on Lizorkin-Triebel spaces. Zbl 1219.47092Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried 17 2010 Optimal approximation of multivariate periodic Sobolev functions in the sup-norm. Zbl 1357.46028Cobos, Fernando; Kühn, Thomas; Sickel, Winfried 17 2016 Spaces of functions of mixed smoothness and approximation from hyperbolic crosses. Zbl 1045.41009Schmeisser, Hans-Jürgen; Sickel, Winfried 16 2004 Optimal approximation of elliptic problems by linear and nonlinear mappings. I. Zbl 1092.65044Dahlke, Stephan; Novak, Erich; Sickel, Winfried 16 2006 Functional calculus on \(BMO\) and related spaces. Zbl 1007.47028Bourdaud, Gérard; Lanza de Cristoforis, Massimo; Sickel, Winfried 15 2002 Sampling theory and function spaces. Zbl 0977.94010Schmeisser, Hans-Jürgen; Sickel, Winfried 14 2000 Superposition operators and functions of bounded \(p\)-variation. II. Zbl 1090.47050Bourdaud, Gérard; Lanza de Cristoforis, Massimo; Sickel, Winfried 14 2005 On the interplay of regularity and decay in case of radial functions I: Inhomogeneous spaces. Zbl 1247.46031Sickel, Winfried; Skrzypczak, Leszek; Vybiral, Jan 13 2012 Periodic spaces and relations to strong summability of multiple Fourier series. Zbl 0614.42002Sickel, Winfried 12 1985 Traces of anisotropic Besov-Lizorkin-Triebel spaces—a complete treatment of the borderline cases. Zbl 0970.46019Farkas, Walter; Johnsen, Jon; Sickel, Winfried 12 2000 Towards sharp superposition theorems in Besov and Lizorkin-Triebel spaces. Zbl 1149.46026Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried 12 2008 Anisotropic, mixed-norm Lizorkin-Triebel spaces and diffeomorphic maps. Zbl 1305.46029Johnsen, J.; Munch Hansen, S.; Sickel, W. 12 2014 A Sobolev non embedding. Zbl 1341.46024Mironescu, Petru; Sickel, Winfried 12 2015 Traces of vector-valued Sobolev spaces. Zbl 1254.46038Scharf, Benjamin; Schmeißer, Hans-Jürgen; Sickel, Winfried 11 2012 Complex interpolation of weighted Besov and Lizorkin-Triebel spaces. Zbl 1314.46048Sickel, Winfried; Skrzypczak, Leszek; Vybíral, Jan 10 2014 Entropy numbers of Sobolev embeddings of radial Besov spaces. Zbl 1047.47016Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek 10 2003 Pointwise multipliers of Besov spaces of smoothness zero and spaces of continuous functions. Zbl 1036.46024Koch, Herbert; Sickel, Winfried 10 2002 Spline representations of functions in Besov-Triebel-Lizorkin spaces on \({\mathbb{R}}^ n\). Zbl 0731.41014Sickel, Winfried 9 1990 Characterisation by local means of anisotropic Lizorkin-Triebel spaces with mixed norms. Zbl 1284.46028Johnsen, J.; Munch Hansen, S.; Sickel, W. 9 2013 Composition operators acting on Besov spaces on the real line. Zbl 1314.46038Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried 9 2014 On the interplay of regularity and decay in case of radial functions. II. Homogeneous spaces. Zbl 1254.46039Sickel, Winfried; Skrzypczak, Leszek 9 2012 On strong summability of multiple Fourier series and smoothness properties of functions. Zbl 0497.42007Schmeisser, Hans-Juergen; Sickel, Winfried 8 1982 The characterization of the regularity of the Jacobian determinant in the framework of potential spaces. Zbl 0923.42016Sickel, Winfried; Youssfi, Abdellah 8 1999 Vector-valued Sobolev spaces and Gagliardo–Nirenberg inequalities. Zbl 1099.46027Schmeißer, Hans-Jürgen; Sickel, Winfried 8 2005 Best \(m\)-term approximation and tensor product of Sobolev and Besov spaces – the case of non-compact embeddings. Zbl 1234.41010Hansen, Markus; Sickel, Winfried 8 2010 An optimal symbolic calculus on Besov algebras. Zbl 1117.46033Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried 8 2006 Hyperbolic equations, function spaces with exponential weights and Nemytskij operators. Zbl 1225.47077Bourdaud, Gérard; Reissig, M.; Sickel, Winfried 8 2003 Best \(m\)-term approximation and Lizorkin-Triebel spaces. Zbl 1229.41028Hansen, Markus; Sickel, Winfried 7 2011 Superposition of functions in Sobolev spaces of fractional order. A survey. Zbl 0792.47062Sickel, Winfried 7 1992 Changes of variable in Besov spaces. Zbl 0930.46026Bourdaud, Gerard; Sickel, Winfried 7 1999 On Besov regularity of solutions to nonlinear elliptic partial differential equations. Zbl 1275.41021Dahlke, Stephan; Sickel, Winfried 7 2013 Non-analytic superposition results on modulation spaces with subexponential weights. Zbl 1360.47012Reich, Maximilian; Reissig, Michael; Sickel, Winfried 7 2016 The radial lemma of Strauss in the context of Morrey spaces. Zbl 1302.46025Sickel, Winfried; Yang, Dachun; Yuan, Wen 7 2014 Best \(m\)-term approximation and Sobolev-Besov spaces of dominating mixed smoothness – the case of compact embeddings. Zbl 1251.41005Hansen, Markus; Sickel, Winfried 7 2012 On strong summability of multiple Fourier series and approximation of periodic functions. Zbl 0642.42015Schmeisser, Hans-Jürgen; Sickel, Winfried 6 1987 Necessary conditions on composition operators acting on Sobolev spaces of fractional order. The critical case \(1<s<n/p\). Zbl 0898.46032Sickel, Winfried 6 1997 Necessary conditions on composition operators acting between Besov spaces. The case \(1<s<n/p\). III. Zbl 0914.46030Sickel, Winfried 6 1998 The characterization of the regularity of the Jacobian determinant in the framework of Bessel potential spaces on domains. Zbl 0957.46028Sickel, Winfried; Youssfi, Abdellah 6 1999 Some remarks on trigonometric interpolation on the \(n\)-torus. Zbl 0768.41016Sickel, W. 6 1991 Characterizations of Besov-type and Triebel-Lizorkin-type spaces via averages on balls. Zbl 1372.42020Zhuo, Ciqiang; Sickel, Winfried; Yang, Dachun; Yuan, Wen 6 2017 Characterization of Besov-Triebel-Lizorkin spaces via approximation by Whittaker’s cardinal series and related unconditional Schauder bases. Zbl 0762.41033Sickel, Winfried 5 1992 Compact embeddings of radial and subradial subspaces of some Besov-type spaces related to Morrey spaces. Zbl 1292.46023Yuan, Wen; Sickel, Winfried; Yang, Dachun 5 2013 Weyl numbers of embeddings of tensor product Besov spaces. Zbl 1323.47018Nguyen, Van Kien; Sickel, Winfried 5 2015 Characterization of periodic function spaces via means of Abel-Poisson and Bessel-potential type. Zbl 0704.42006Schmeisser, H. J.; Sickel, W. 4 1990 How anisotropic mixed smoothness affects the decay of singular numbers for Sobolev embeddings. Zbl 1470.46058Kühn, Thomas; Sickel, Winfried; Ullrich, Tino 4 2021 Besov regularity for the Poisson equation in smooth and polyhedral cones. Zbl 1169.35018Dahlke, Stephan; Sickel, Winfried 4 2009 Conditions on composition operators which map a space of Triebel-Lizorkin type in a Sobolev space. The case \(1<s<n/p\). II. Zbl 0912.46038Sickel, Winfried 4 1998 Interpolation on sparse grids and tensor products of Nikol’skij-Besov spaces. Zbl 0945.41002Sickel, Winfried; Sprengel, Frauke 4 1999 A remark on orthonormal bases of compactly supported wavelets in Triebel- Lizorkin spaces. The case \(0<p, q<\infty\). Zbl 0755.42018Sickel, Winfried 4 1991 Pointwise multiplication in Triebel-Lizorkin spaces. Zbl 0768.46022Sickel, Winfried 4 1993 Composition operators acting on Sobolev spaces of fractional order. — A survey on sufficient and necessary conditions. Zbl 0896.47052Sickel, Winfried 4 1996 Strong summability of Fourier series and generalized Morrey spaces. Zbl 1399.42009Baituyakova, Z.; Sickel, W. 4 2017 Several types of intermediate Besov-Orlicz spaces. Zbl 0992.46028Pick, Luboš; Sickel, Winfried 3 1993 On boundedness of superposition operators in spaces of Triebel-Lizorkin type. Zbl 0693.46039Sickel, Winfried 3 1989 Multiplication and composition in weighted modulation spaces. Zbl 1391.46042Reich, Maximilian; Sickel, Winfried 3 2016 Isotropic and dominating mixed Besov spaces: a comparison. Zbl 1395.46029Nguyen, Van Kien; Sickel, Winfried 3 2017 Approximation from sparse grids and function spaces of dominating mixed smoothness. Zbl 1110.41009Sickel, Winfried 3 2006 Traces of functions with a dominating mixed derivative in \(\mathbb R^3\). Zbl 1174.42027Vybíral, Jan; Sickel, Winfried 3 2007 Pointwise multipliers for Sobolev and Besov spaces of dominating mixed smoothness. Zbl 1382.46023Nguyen Van Kien; Sickel, Winfried 3 2017 The Haar system in Besov-type spaces. Zbl 1443.42020Yuan, Wen; Sickel, Winfried; Yang, Dachun 3 2020 On optimal approximation in periodic Besov spaces. Zbl 1421.42002Cobos, Fernando; Kühn, Thomas; Sickel, Winfried 2 2019 Complex interpolation of Lizorkin-Triebel-Morrey spaces on domains. Zbl 1478.46017Zhuo, Ciqiang; Hovemann, Marc; Sickel, Winfried 2 2020 On strong summability of Jacobi-Fourier-expansions and smoothness properties of functions. Zbl 0479.42006Runst, Thomas; Sickel, Winfried 2 1980 Optimal approximation of elliptic problems by linear and nonlinear mappings. III: Frames. Zbl 1129.65038Dahlke, Stephan; Novak, Erich; Sickel, Winfried 2 2007 On pointwise multipliers in Besov-Triebel-Lizorkin spaces. Zbl 0666.46040Sickel, Winfried 2 1987 Some error estimates for periodic interpolation of functions from Besov spaces. Zbl 0955.41003Sickel, Winfried; Sprengel, Frauke 2 1999 Optimal approximation of elliptic problems by linear and nonlinear mappings. IV: Errors in \(L_{2}\) and other norms. Zbl 1184.65056Dahlke, Stephan; Novak, Erich; Sickel, Winfried 2 2010 Strong summability of Fourier series and Morrey spaces. Zbl 1299.42009Sautbekova, Merey; Sickel, Winfried 2 2014 Subradial functions and compact embeddings. Zbl 1320.46032Sickel, Winfried; Skrzypczak, Leszek 2 2014 A necessary condition for composition in Besov spaces. Zbl 1448.46028Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried 1 2020 Pointwise multipliers for Besov spaces of dominating mixed smoothness. II. Zbl 1402.46027Nguyen, Van Kien; Sickel, Winfried 1 2017 Some observations on equivalent quasi-norms in generalized Besov spaces and approximation of functions in Lipschitz-norms. Zbl 0651.46039Sickel, W. 1 1986 Marcinkiewicz-Zygmund-type inequalities, trigonometric interpolation on non-uniform grids and unconditional Schauder bases in Besov spaces on the torus. Zbl 0917.42003Runovski, K. V.; Sickel, W. 1 1997 Approximate recovery of functions and Besov spaces of dominating mixed smoothness. Zbl 1082.42004Sickel, Winfried 1 2003 Homeomorphisms which act on Besov spaces. Zbl 0879.47013Bourdaud, Gérard; Sickel, Winfried 1 1996 On a problem of Jaak Peetre concerning pointwise multipliers of Besov spaces. Zbl 1404.46035Nguyen, Van Kien; Sickel, Winfried 1 2018 How anisotropic mixed smoothness affects the decay of singular numbers for Sobolev embeddings. Zbl 1470.46058Kühn, Thomas; Sickel, Winfried; Ullrich, Tino 4 2021 The Haar system in Besov-type spaces. Zbl 1443.42020Yuan, Wen; Sickel, Winfried; Yang, Dachun 3 2020 Complex interpolation of Lizorkin-Triebel-Morrey spaces on domains. Zbl 1478.46017Zhuo, Ciqiang; Hovemann, Marc; Sickel, Winfried 2 2020 A necessary condition for composition in Besov spaces. Zbl 1448.46028Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried 1 2020 Besov-type spaces and differences. Zbl 1463.46057Hovemann, Marc; Sickel, Winfried 1 2020 On optimal approximation in periodic Besov spaces. Zbl 1421.42002Cobos, Fernando; Kühn, Thomas; Sickel, Winfried 2 2019 On a problem of Jaak Peetre concerning pointwise multipliers of Besov spaces. Zbl 1404.46035Nguyen, Van Kien; Sickel, Winfried 1 2018 Characterizations of Besov-type and Triebel-Lizorkin-type spaces via averages on balls. Zbl 1372.42020Zhuo, Ciqiang; Sickel, Winfried; Yang, Dachun; Yuan, Wen 6 2017 Strong summability of Fourier series and generalized Morrey spaces. Zbl 1399.42009Baituyakova, Z.; Sickel, W. 4 2017 Isotropic and dominating mixed Besov spaces: a comparison. Zbl 1395.46029Nguyen, Van Kien; Sickel, Winfried 3 2017 Pointwise multipliers for Sobolev and Besov spaces of dominating mixed smoothness. Zbl 1382.46023Nguyen Van Kien; Sickel, Winfried 3 2017 Pointwise multipliers for Besov spaces of dominating mixed smoothness. II. Zbl 1402.46027Nguyen, Van Kien; Sickel, Winfried 1 2017 Isotropic and dominating mixed Lizorkin-Triebel spaces – a comparison. Zbl 1399.46048Nguyen, V. K.; Sickel, W. 1 2017 Sampling on energy-norm based sparse grids for the optimal recovery of Sobolev type functions in \(H^\gamma\). Zbl 1347.42003Byrenheid, Glenn; Dũng, Dinh; Sickel, Winfried; Ullrich, Tino 18 2016 Optimal approximation of multivariate periodic Sobolev functions in the sup-norm. Zbl 1357.46028Cobos, Fernando; Kühn, Thomas; Sickel, Winfried 17 2016 Non-analytic superposition results on modulation spaces with subexponential weights. Zbl 1360.47012Reich, Maximilian; Reissig, Michael; Sickel, Winfried 7 2016 Multiplication and composition in weighted modulation spaces. Zbl 1391.46042Reich, Maximilian; Sickel, Winfried 3 2016 Interpolation of Morrey-Campanato and related smoothness spaces. Zbl 1337.46030Yuan, Wen; Sickel, Winfried; Yang, DaChun 44 2015 Approximation of mixed order Sobolev functions on the \(d\)-torus: asymptotics, preasymptotics, and \(d\)-dependence. Zbl 1485.47025Kühn, Thomas; Sickel, Winfried; Ullrich, Tino 30 2015 Anisotropic Lizorkin-Triebel spaces with mixed norms – traces on smooth boundaries. Zbl 1345.46030Johnsen, J.; Munch Hansen, S.; Sickel, W. 23 2015 A Sobolev non embedding. Zbl 1341.46024Mironescu, Petru; Sickel, Winfried 12 2015 Weyl numbers of embeddings of tensor product Besov spaces. Zbl 1323.47018Nguyen, Van Kien; Sickel, Winfried 5 2015 Approximation numbers of Sobolev embeddings-sharp constants and tractability. Zbl 1334.47028Kühn, Thomas; Sickel, Winfried; Ullrich, Tino 23 2014 Anisotropic, mixed-norm Lizorkin-Triebel spaces and diffeomorphic maps. Zbl 1305.46029Johnsen, J.; Munch Hansen, S.; Sickel, W. 12 2014 Complex interpolation of weighted Besov and Lizorkin-Triebel spaces. Zbl 1314.46048Sickel, Winfried; Skrzypczak, Leszek; Vybíral, Jan 10 2014 Composition operators acting on Besov spaces on the real line. Zbl 1314.46038Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried 9 2014 The radial lemma of Strauss in the context of Morrey spaces. Zbl 1302.46025Sickel, Winfried; Yang, Dachun; Yuan, Wen 7 2014 Strong summability of Fourier series and Morrey spaces. Zbl 1299.42009Sautbekova, Merey; Sickel, Winfried 2 2014 Subradial functions and compact embeddings. Zbl 1320.46032Sickel, Winfried; Skrzypczak, Leszek 2 2014 Smoothness spaces related to Morrey spaces – a survey. II. Zbl 1290.46028Sickel, W. 33 2013 On the coincidence of certain approaches to smoothness spaces related to Morrey spaces. Zbl 1286.46042Yuan, Wen; Sickel, Winfried; Yang, Dachun 20 2013 Characterisation by local means of anisotropic Lizorkin-Triebel spaces with mixed norms. Zbl 1284.46028Johnsen, J.; Munch Hansen, S.; Sickel, W. 9 2013 On Besov regularity of solutions to nonlinear elliptic partial differential equations. Zbl 1275.41021Dahlke, Stephan; Sickel, Winfried 7 2013 Compact embeddings of radial and subradial subspaces of some Besov-type spaces related to Morrey spaces. Zbl 1292.46023Yuan, Wen; Sickel, Winfried; Yang, Dachun 5 2013 Smoothness spaces related to Morrey spaces: a survey. I. Zbl 1274.46074Sickel, W. 42 2012 On the interplay of regularity and decay in case of radial functions I: Inhomogeneous spaces. Zbl 1247.46031Sickel, Winfried; Skrzypczak, Leszek; Vybiral, Jan 13 2012 Traces of vector-valued Sobolev spaces. Zbl 1254.46038Scharf, Benjamin; Schmeißer, Hans-Jürgen; Sickel, Winfried 11 2012 On the interplay of regularity and decay in case of radial functions. II. Homogeneous spaces. Zbl 1254.46039Sickel, Winfried; Skrzypczak, Leszek 9 2012 Best \(m\)-term approximation and Sobolev-Besov spaces of dominating mixed smoothness – the case of compact embeddings. Zbl 1251.41005Hansen, Markus; Sickel, Winfried 7 2012 Spline interpolation on sparse grids. Zbl 1219.41012Sickel, Winfried; Ullrich, Tino 25 2011 Composition operators on function spaces with fractional order of smoothness. Zbl 1238.46023Bourdaud, Gérard; Sickel, Winfried 23 2011 Best \(m\)-term approximation and Lizorkin-Triebel spaces. Zbl 1229.41028Hansen, Markus; Sickel, Winfried 7 2011 Morrey and Campanato meet Besov, Lizorkin and Triebel. Zbl 1207.46002Yuan, Wen; Sickel, Winfried; Yang, Dachun 149 2010 Composition operators on Lizorkin-Triebel spaces. Zbl 1219.47092Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried 17 2010 Best \(m\)-term approximation and tensor product of Sobolev and Besov spaces – the case of non-compact embeddings. Zbl 1234.41010Hansen, Markus; Sickel, Winfried 8 2010 Optimal approximation of elliptic problems by linear and nonlinear mappings. IV: Errors in \(L_{2}\) and other norms. Zbl 1184.65056Dahlke, Stephan; Novak, Erich; Sickel, Winfried 2 2010 Tensor products of Sobolev-Besov spaces and applications to approximation from the hyperbolic cross. Zbl 1194.46056Sickel, Winfried; Ullrich, Tino 39 2009 Besov regularity for the Poisson equation in smooth and polyhedral cones. Zbl 1169.35018Dahlke, Stephan; Sickel, Winfried 4 2009 On the trace problem for Lizorkin–Triebel spaces with mixed norms. Zbl 1154.46017Johnsen, Jon; Sickel, Winfried 30 2008 Towards sharp superposition theorems in Besov and Lizorkin-Triebel spaces. Zbl 1149.46026Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried 12 2008 A direct proof of Sobolev embeddings for quasi-homogeneous Lizorkin-Triebel spaces with mixed norms. Zbl 1140.46014Johnsen, Jon; Sickel, Winfried 23 2007 Entropy numbers of embeddings of weighted Besov spaces. III: Weights of logarithmic type. Zbl 1144.41006Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek 21 2007 Traces of functions with a dominating mixed derivative in \(\mathbb R^3\). Zbl 1174.42027Vybíral, Jan; Sickel, Winfried 3 2007 Optimal approximation of elliptic problems by linear and nonlinear mappings. III: Frames. Zbl 1129.65038Dahlke, Stephan; Novak, Erich; Sickel, Winfried 2 2007 Entropy numbers of embeddings of weighted Besov spaces. II. Zbl 1103.41027Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek 32 2006 Superposition operators and functions of bounded \(p\)-variation. Zbl 1134.46015Bourdaud, Gérard; Lanza de Cristoforis, Massimo; Sickel, Winfried 28 2006 Entropy numbers of embeddings of weighted Besov spaces. Zbl 1100.41015Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek 24 2006 Optimal approximation of elliptic problems by linear and nonlinear mappings. II. Zbl 1102.65061Dahlke, Stephan; Novak, Erich; Sickel, Winfried 23 2006 Optimal approximation of elliptic problems by linear and nonlinear mappings. I. Zbl 1092.65044Dahlke, Stephan; Novak, Erich; Sickel, Winfried 16 2006 An optimal symbolic calculus on Besov algebras. Zbl 1117.46033Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried 8 2006 Approximation from sparse grids and function spaces of dominating mixed smoothness. Zbl 1110.41009Sickel, Winfried 3 2006 Superposition operators and functions of bounded \(p\)-variation. II. Zbl 1090.47050Bourdaud, Gérard; Lanza de Cristoforis, Massimo; Sickel, Winfried 14 2005 Vector-valued Sobolev spaces and Gagliardo–Nirenberg inequalities. Zbl 1099.46027Schmeißer, Hans-Jürgen; Sickel, Winfried 8 2005 Spaces of functions of mixed smoothness and approximation from hyperbolic crosses. Zbl 1045.41009Schmeisser, Hans-Jürgen; Sickel, Winfried 16 2004 Entropy numbers of Sobolev embeddings of radial Besov spaces. Zbl 1047.47016Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek 10 2003 Hyperbolic equations, function spaces with exponential weights and Nemytskij operators. Zbl 1225.47077Bourdaud, Gérard; Reissig, M.; Sickel, Winfried 8 2003 Approximate recovery of functions and Besov spaces of dominating mixed smoothness. Zbl 1082.42004Sickel, Winfried 1 2003 Functional calculus on \(BMO\) and related spaces. Zbl 1007.47028Bourdaud, Gérard; Lanza de Cristoforis, Massimo; Sickel, Winfried 15 2002 Pointwise multipliers of Besov spaces of smoothness zero and spaces of continuous functions. Zbl 1036.46024Koch, Herbert; Sickel, Winfried 10 2002 Radial subspaces of Besov and Lizorkin-Triebel classes: Extended Strauss lemma and compactness of embeddings. Zbl 0990.46020Sickel, Winfried; Skrzypczak, Leszek 23 2000 Sampling theory and function spaces. Zbl 0977.94010Schmeisser, Hans-Jürgen; Sickel, Winfried 14 2000 Traces of anisotropic Besov-Lizorkin-Triebel spaces—a complete treatment of the borderline cases. Zbl 0970.46019Farkas, Walter; Johnsen, Jon; Sickel, Winfried 12 2000 On pointwise multipliers for \(F_{p,q}^s (\mathbb{R}^n)\) in case \(\sigma_{p,q}< s< n/p\). Zbl 0956.46027Sickel, Winfried 19 1999 Pointwise multipliers of Lizorkin-Triebel spaces. Zbl 0954.46017Sickel, Winfried 18 1999 The characterization of the regularity of the Jacobian determinant in the framework of potential spaces. Zbl 0923.42016Sickel, Winfried; Youssfi, Abdellah 8 1999 Changes of variable in Besov spaces. Zbl 0930.46026Bourdaud, Gerard; Sickel, Winfried 7 1999 The characterization of the regularity of the Jacobian determinant in the framework of Bessel potential spaces on domains. Zbl 0957.46028Sickel, Winfried; Youssfi, Abdellah 6 1999 Interpolation on sparse grids and tensor products of Nikol’skij-Besov spaces. Zbl 0945.41002Sickel, Winfried; Sprengel, Frauke 4 1999 Some error estimates for periodic interpolation of functions from Besov spaces. Zbl 0955.41003Sickel, Winfried; Sprengel, Frauke 2 1999 Necessary conditions on composition operators acting between Besov spaces. The case \(1<s<n/p\). III. Zbl 0914.46030Sickel, Winfried 6 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 0912.46038Sickel, Winfried 4 1998 Necessary conditions on composition operators acting on Sobolev spaces of fractional order. The critical case \(1<s<n/p\). Zbl 0898.46032Sickel, Winfried 6 1997 Marcinkiewicz-Zygmund-type inequalities, trigonometric interpolation on non-uniform grids and unconditional Schauder bases in Besov spaces on the torus. Zbl 0917.42003Runovski, K. V.; Sickel, W. 1 1997 Sobolev spaces of fractional order, Nemytskij operators and nonlinear partial differential equations. Zbl 0873.35001Runst, Thomas; Sickel, Winfried 473 1996 Composition operators acting on Sobolev spaces of fractional order. — A survey on sufficient and necessary conditions. Zbl 0896.47052Sickel, Winfried 4 1996 Homeomorphisms which act on Besov spaces. Zbl 0879.47013Bourdaud, Gérard; Sickel, Winfried 1 1996 Hölder inequalities and sharp embeddings in function spaces of \(B_{pq}^ s\) and \(F_{pq}^ s\) type. Zbl 0820.46030Sickel, W.; Triebel, H. 72 1995 Pointwise multiplication in Triebel-Lizorkin spaces. Zbl 0768.46022Sickel, Winfried 4 1993 Several types of intermediate Besov-Orlicz spaces. Zbl 0992.46028Pick, Luboš; Sickel, Winfried 3 1993 Superposition of functions in Sobolev spaces of fractional order. A survey. Zbl 0792.47062Sickel, Winfried 7 1992 Characterization of Besov-Triebel-Lizorkin spaces via approximation by Whittaker’s cardinal series and related unconditional Schauder bases. Zbl 0762.41033Sickel, Winfried 5 1992 Some remarks on trigonometric interpolation on the \(n\)-torus. Zbl 0768.41016Sickel, W. 6 1991 A remark on orthonormal bases of compactly supported wavelets in Triebel- Lizorkin spaces. The case \(0<p, q<\infty\). Zbl 0755.42018Sickel, Winfried 4 1991 Spline representations of functions in Besov-Triebel-Lizorkin spaces on \({\mathbb{R}}^ n\). Zbl 0731.41014Sickel, Winfried 9 1990 Characterization of periodic function spaces via means of Abel-Poisson and Bessel-potential type. Zbl 0704.42006Schmeisser, H. J.; Sickel, W. 4 1990 On boundedness of superposition operators in spaces of Triebel-Lizorkin type. Zbl 0693.46039Sickel, Winfried 3 1989 On strong summability of multiple Fourier series and approximation of periodic functions. Zbl 0642.42015Schmeisser, Hans-Jürgen; Sickel, Winfried 6 1987 On pointwise multipliers in Besov-Triebel-Lizorkin spaces. Zbl 0666.46040Sickel, Winfried 2 1987 Some observations on equivalent quasi-norms in generalized Besov spaces and approximation of functions in Lipschitz-norms. Zbl 0651.46039Sickel, W. 1 1986 Periodic spaces and relations to strong summability of multiple Fourier series. Zbl 0614.42002Sickel, Winfried 12 1985 ...and 2 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,103 Authors 60 Sickel, Winfried 53 Yang, Dachun 40 Yuan, Wen 36 Skrzypczak, Leszek 28 Haroske, Dorothee D. 25 Sawano, Yoshihiro 24 Ullrich, Tino 19 Moussai, Madani 19 Triebel, Hans 16 Dahlke, Stephan 15 Bourdaud, Gérard 15 Mitrea, Marius 14 Schikorra, Armin 13 Drihem, Douadi 12 Dinh Dũng 12 Hakim, Denny Ivanal 12 Kühn, Thomas 12 Schneider, Cornelia 12 Vybíral, Jan 12 Wu, Jiahong 11 Johnsen, Jon 11 Zhuo, Ciqiang 10 Georgiadis, Athanasios G. 10 Domingues de Moura, Susana 10 Nguyen, Van Kien 10 Schmeisser, Hans-Jürgen 9 Kämmerer, Lutz 9 Taira, Kazuaki 9 Weimar, Markus 9 Yang, Qixiang 8 Hausenblas, Erika 8 Kolomoitsev, Yurii S. 8 Mironescu, Petru 8 Mitrea, Irina 8 Nielsen, Morten 8 Novak, Erich 8 Reissig, Michael 7 Baladi, Viviane 7 Caetano, António M. 7 Cleanthous, Galatia 7 Danchin, Raphaël 7 Li, Pengtao 7 Skopina, Maria A. 6 Burenkov, Viktor Ivanovich 6 Ho, Kwok-Pun 6 Huang, Long 6 Leopold, Hans-Gerd 6 Mitrea, Dorina 6 Runovski, Konstantin Vsevolodovich 6 Van Schaftingen, Jean 6 Wu, Gang 6 Xu, Xiaojing 6 Zhu, RongChan 5 Bie, Qunyi 5 Cobos, Fernando 5 Fang, Gensun 5 Fu, Zunwei 5 Hansen, Markus 5 Issoglio, Elena 5 Lanza de Cristoforis, Massimo 5 Liu, Liguang 5 Nakai, Eiichi 5 Potts, Daniel 5 Russ, Emmanuel 5 Shang, Haifeng 5 Sun, Wenchang 5 Tintarev, Kyril 5 Tomita, Naohito 5 Ullrich, Mario 5 Veraar, Mark C. 5 Volkmer, Toni 5 Wang, Heping 5 Yao, Zhengan 5 Zhu, Xiang-Chan 4 Abels, Helmut 4 Abidi, Hammadi 4 Almeida, Alexandre 4 Blatt, Simon 4 Blömker, Dirk 4 Bousquet, Pierre 4 Brauer, Uwe 4 Brézis, Haïm 4 Chen, Jiecheng 4 Deya, Aurélien 4 Diening, Lars 4 Dong, Boqing 4 Heinrich, Stefan 4 Jiang, Yingchun 4 Karp, Lavi 4 Koch, Herbert 4 Koskela, Pekka 4 Krieg, David 4 Krivoshein, Aleksandr Vladimirovich 4 Lindemulder, Nick 4 Martinez, Vincent R. 4 Musina, Roberta 4 Nazarov, Alexander I. 4 Rosenthal, Marcel 4 Schwab, Christoph 4 Seeger, Andreas ...and 1,003 more Authors all top 5 Cited in 248 Serials 46 Journal of Approximation Theory 43 Journal of Complexity 42 Journal of Functional Analysis 41 Journal of Mathematical Analysis and Applications 38 Mathematische Nachrichten 36 Journal of Differential Equations 33 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 28 The Journal of Fourier Analysis and Applications 25 Science China. Mathematics 20 Zeitschrift für Analysis und ihre Anwendungen 15 Transactions of the American Mathematical Society 15 Constructive Approximation 14 The Journal of Geometric Analysis 14 Revista Matemática Complutense 13 Foundations of Computational Mathematics 12 Archive for Rational Mechanics and Analysis 12 Annali di Matematica Pura ed Applicata. Serie Quarta 12 Proceedings of the American Mathematical Society 12 Journal of Mathematical Fluid Mechanics 11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 Journal of Function Spaces and Applications 10 Potential Analysis 10 Acta Mathematica Sinica. English Series 10 Proceedings of the Steklov Institute of Mathematics 9 Communications in Mathematical Physics 9 SIAM Journal on Mathematical Analysis 9 Applied and Computational Harmonic Analysis 9 Communications on Pure and Applied Analysis 9 Banach Journal of Mathematical Analysis 8 Analysis Mathematica 8 Mathematical Methods in the Applied Sciences 8 Numerische Mathematik 8 Journal of Evolution Equations 7 Applicable Analysis 7 Advances in Mathematics 7 Mathematische Annalen 7 Revista Matemática Iberoamericana 7 Journal de Mathématiques Pures et Appliquées. Neuvième Série 7 Discrete and Continuous Dynamical Systems 7 Analysis and Applications (Singapore) 7 Journal of Function Spaces 6 ZAMP. Zeitschrift für angewandte Mathematik und Physik 6 Numerical Functional Analysis and Optimization 6 Eurasian Mathematical Journal 5 Journal d’Analyse Mathématique 5 Mathematische Zeitschrift 5 NoDEA. Nonlinear Differential Equations and Applications 5 Taiwanese Journal of Mathematics 5 Communications in Contemporary Mathematics 5 Mediterranean Journal of Mathematics 5 Complex Variables and Elliptic Equations 5 Journal of Pseudo-Differential Operators and Applications 4 Journal of Statistical Physics 4 Mathematical Notes 4 Studia Mathematica 4 Mathematics of Computation 4 Acta Mathematica Vietnamica 4 Annales de l’Institut Fourier 4 The Annals of Statistics 4 Archiv der Mathematik 4 Monatshefte für Mathematik 4 Results in Mathematics 4 Chinese Annals of Mathematics. Series B 4 Journal of Scientific Computing 4 Stochastic Processes and their Applications 4 Journal of Dynamics and Differential Equations 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Applied Mathematics. Series B (English Edition) 4 Calculus of Variations and Partial Differential Equations 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 Journal of Hyperbolic Differential Equations 4 Frontiers of Mathematics in China 4 Stochastic and Partial Differential Equations. Analysis and Computations 3 Applied Mathematics and Computation 3 Functiones et Approximatio. Commentarii Mathematici 3 Integral Equations and Operator Theory 3 Inventiones Mathematicae 3 Journal of the Mathematical Society of Japan 3 Manuscripta Mathematica 3 SIAM Journal on Numerical Analysis 3 Physica D 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 The Annals of Applied Probability 3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Journal of Mathematical Sciences (New York) 3 Georgian Mathematical Journal 3 Advances in Computational Mathematics 3 Integral Transforms and Special Functions 3 Annales Academiae Scientiarum Fennicae. Mathematica 3 Abstract and Applied Analysis 3 Fractional Calculus & Applied Analysis 3 Discrete and Continuous Dynamical Systems. Series B 3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 3 Journal of Fixed Point Theory and Applications 3 Kyoto Journal of Mathematics 3 Annals of Functional Analysis 3 Bulletin of Mathematical Sciences 2 Nonlinearity 2 The Annals of Probability 2 Canadian Mathematical Bulletin ...and 148 more Serials all top 5 Cited in 49 Fields 503 Functional analysis (46-XX) 411 Partial differential equations (35-XX) 361 Harmonic analysis on Euclidean spaces (42-XX) 185 Operator theory (47-XX) 139 Approximations and expansions (41-XX) 116 Numerical analysis (65-XX) 101 Fluid mechanics (76-XX) 71 Probability theory and stochastic processes (60-XX) 59 Real functions (26-XX) 39 Functions of a complex variable (30-XX) 30 Global analysis, analysis on manifolds (58-XX) 29 Calculus of variations and optimal control; optimization (49-XX) 20 Dynamical systems and ergodic theory (37-XX) 18 Mechanics of deformable solids (74-XX) 18 Information and communication theory, circuits (94-XX) 17 Statistics (62-XX) 16 Potential theory (31-XX) 15 Computer science (68-XX) 14 Statistical mechanics, structure of matter (82-XX) 13 Measure and integration (28-XX) 13 Abstract harmonic analysis (43-XX) 13 Integral equations (45-XX) 12 Biology and other natural sciences (92-XX) 11 Several complex variables and analytic spaces (32-XX) 10 Quantum theory (81-XX) 8 Differential geometry (53-XX) 8 Systems theory; control (93-XX) 6 Ordinary differential equations (34-XX) 6 Manifolds and cell complexes (57-XX) 6 Geophysics (86-XX) 5 Integral transforms, operational calculus (44-XX) 5 Optics, electromagnetic theory (78-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Special functions (33-XX) 3 Number theory (11-XX) 3 Difference and functional equations (39-XX) 3 Convex and discrete geometry (52-XX) 3 Algebraic topology (55-XX) 3 Relativity and gravitational theory (83-XX) 2 Combinatorics (05-XX) 2 Mechanics of particles and systems (70-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 General topology (54-XX) 1 Astronomy and astrophysics (85-XX) 1 Mathematics education (97-XX) Citations by Year