## Sickel, Winfried

Compute Distance To:
 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
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### 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
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### 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
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### 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)

### 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 0873.35001
Runst, Thomas; Sickel, Winfried
1996
Morrey and Campanato meet Besov, Lizorkin and Triebel. Zbl 1207.46002
Yuan, Wen; Sickel, Winfried; Yang, Dachun
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.
1995
Interpolation of Morrey-Campanato and related smoothness spaces. Zbl 1337.46030
Yuan, Wen; Sickel, Winfried; Yang, DaChun
2015
Smoothness spaces related to Morrey spaces: a survey. I. Zbl 1274.46074
Sickel, W.
2012
Tensor products of Sobolev-Besov spaces and applications to approximation from the hyperbolic cross. Zbl 1194.46056
Sickel, Winfried; Ullrich, Tino
2009
Smoothness spaces related to Morrey spaces – a survey. II. Zbl 1290.46028
Sickel, W.
2013
Entropy numbers of embeddings of weighted Besov spaces. II. Zbl 1103.41027
Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek
2006
Approximation of mixed order Sobolev functions on the $$d$$-torus: asymptotics, preasymptotics, and $$d$$-dependence. Zbl 1485.47025
Kühn, Thomas; Sickel, Winfried; Ullrich, Tino
2015
On the trace problem for Lizorkin–Triebel spaces with mixed norms. Zbl 1154.46017
Johnsen, Jon; Sickel, Winfried
2008
Superposition operators and functions of bounded $$p$$-variation. Zbl 1134.46015
Bourdaud, Gérard; Lanza de Cristoforis, Massimo; Sickel, Winfried
2006
Spline interpolation on sparse grids. Zbl 1219.41012
Sickel, Winfried; Ullrich, Tino
2011
Entropy numbers of embeddings of weighted Besov spaces. Zbl 1100.41015
Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek
2006
A direct proof of Sobolev embeddings for quasi-homogeneous Lizorkin-Triebel spaces with mixed norms. Zbl 1140.46014
Johnsen, Jon; Sickel, Winfried
2007
Composition operators on function spaces with fractional order of smoothness. Zbl 1238.46023
Bourdaud, Gérard; Sickel, Winfried
2011
Radial subspaces of Besov and Lizorkin-Triebel classes: Extended Strauss lemma and compactness of embeddings. Zbl 0990.46020
Sickel, Winfried; Skrzypczak, Leszek
2000
Approximation numbers of Sobolev embeddings-sharp constants and tractability. Zbl 1334.47028
Kühn, Thomas; Sickel, Winfried; Ullrich, Tino
2014
Optimal approximation of elliptic problems by linear and nonlinear mappings. II. Zbl 1102.65061
Dahlke, Stephan; Novak, Erich; Sickel, Winfried
2006
Anisotropic Lizorkin-Triebel spaces with mixed norms – traces on smooth boundaries. Zbl 1345.46030
Johnsen, J.; Munch Hansen, S.; Sickel, W.
2015
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
2007
On the coincidence of certain approaches to smoothness spaces related to Morrey spaces. Zbl 1286.46042
Yuan, Wen; Sickel, Winfried; Yang, Dachun
2013
On pointwise multipliers for $$F_{p,q}^s (\mathbb{R}^n)$$ in case $$\sigma_{p,q}< s< n/p$$. Zbl 0956.46027
Sickel, Winfried
1999
Pointwise multipliers of Lizorkin-Triebel spaces. Zbl 0954.46017
Sickel, Winfried
1999
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
2016
Composition operators on Lizorkin-Triebel spaces. Zbl 1219.47092
Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried
2010
Optimal approximation of multivariate periodic Sobolev functions in the sup-norm. Zbl 1357.46028
Cobos, Fernando; Kühn, Thomas; Sickel, Winfried
2016
Spaces of functions of mixed smoothness and approximation from hyperbolic crosses. Zbl 1045.41009
Schmeisser, Hans-Jürgen; Sickel, Winfried
2004
Optimal approximation of elliptic problems by linear and nonlinear mappings. I. Zbl 1092.65044
Dahlke, Stephan; Novak, Erich; Sickel, Winfried
2006
Functional calculus on $$BMO$$ and related spaces. Zbl 1007.47028
Bourdaud, Gérard; Lanza de Cristoforis, Massimo; Sickel, Winfried
2002
Sampling theory and function spaces. Zbl 0977.94010
Schmeisser, Hans-Jürgen; Sickel, Winfried
2000
Superposition operators and functions of bounded $$p$$-variation. II. Zbl 1090.47050
Bourdaud, Gérard; Lanza de Cristoforis, Massimo; Sickel, Winfried
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
2012
Periodic spaces and relations to strong summability of multiple Fourier series. Zbl 0614.42002
Sickel, Winfried
1985
Traces of anisotropic Besov-Lizorkin-Triebel spaces—a complete treatment of the borderline cases. Zbl 0970.46019
Farkas, Walter; Johnsen, Jon; Sickel, Winfried
2000
Towards sharp superposition theorems in Besov and Lizorkin-Triebel spaces. Zbl 1149.46026
Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried
2008
Anisotropic, mixed-norm Lizorkin-Triebel spaces and diffeomorphic maps. Zbl 1305.46029
Johnsen, J.; Munch Hansen, S.; Sickel, W.
2014
A Sobolev non embedding. Zbl 1341.46024
Mironescu, Petru; Sickel, Winfried
2015
Traces of vector-valued Sobolev spaces. Zbl 1254.46038
Scharf, Benjamin; Schmeißer, Hans-Jürgen; Sickel, Winfried
2012
Complex interpolation of weighted Besov and Lizorkin-Triebel spaces. Zbl 1314.46048
Sickel, Winfried; Skrzypczak, Leszek; Vybíral, Jan
2014
Entropy numbers of Sobolev embeddings of radial Besov spaces. Zbl 1047.47016
Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek
2003
Pointwise multipliers of Besov spaces of smoothness zero and spaces of continuous functions. Zbl 1036.46024
Koch, Herbert; Sickel, Winfried
2002
Spline representations of functions in Besov-Triebel-Lizorkin spaces on $${\mathbb{R}}^ n$$. Zbl 0731.41014
Sickel, Winfried
1990
Characterisation by local means of anisotropic Lizorkin-Triebel spaces with mixed norms. Zbl 1284.46028
Johnsen, J.; Munch Hansen, S.; Sickel, W.
2013
Composition operators acting on Besov spaces on the real line. Zbl 1314.46038
Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried
2014
On the interplay of regularity and decay in case of radial functions. II. Homogeneous spaces. Zbl 1254.46039
Sickel, Winfried; Skrzypczak, Leszek
2012
On strong summability of multiple Fourier series and smoothness properties of functions. Zbl 0497.42007
Schmeisser, Hans-Juergen; Sickel, Winfried
1982
The characterization of the regularity of the Jacobian determinant in the framework of potential spaces. Zbl 0923.42016
Sickel, Winfried; Youssfi, Abdellah
1999
Vector-valued Sobolev spaces and Gagliardo–Nirenberg inequalities. Zbl 1099.46027
Schmeißer, Hans-Jürgen; Sickel, Winfried
2005
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
2010
An optimal symbolic calculus on Besov algebras. Zbl 1117.46033
Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried
2006
Hyperbolic equations, function spaces with exponential weights and Nemytskij operators. Zbl 1225.47077
Bourdaud, Gérard; Reissig, M.; Sickel, Winfried
2003
Best $$m$$-term approximation and Lizorkin-Triebel spaces. Zbl 1229.41028
Hansen, Markus; Sickel, Winfried
2011
Superposition of functions in Sobolev spaces of fractional order. A survey. Zbl 0792.47062
Sickel, Winfried
1992
Changes of variable in Besov spaces. Zbl 0930.46026
Bourdaud, Gerard; Sickel, Winfried
1999
On Besov regularity of solutions to nonlinear elliptic partial differential equations. Zbl 1275.41021
Dahlke, Stephan; Sickel, Winfried
2013
Non-analytic superposition results on modulation spaces with subexponential weights. Zbl 1360.47012
Reich, Maximilian; Reissig, Michael; Sickel, Winfried
2016
The radial lemma of Strauss in the context of Morrey spaces. Zbl 1302.46025
Sickel, Winfried; Yang, Dachun; Yuan, Wen
2014
Best $$m$$-term approximation and Sobolev-Besov spaces of dominating mixed smoothness – the case of compact embeddings. Zbl 1251.41005
Hansen, Markus; Sickel, Winfried
2012
On strong summability of multiple Fourier series and approximation of periodic functions. Zbl 0642.42015
Schmeisser, Hans-Jürgen; Sickel, Winfried
1987
Necessary conditions on composition operators acting on Sobolev spaces of fractional order. The critical case $$1<s<n/p$$. Zbl 0898.46032
Sickel, Winfried
1997
Necessary conditions on composition operators acting between Besov spaces. The case $$1<s<n/p$$. III. Zbl 0914.46030
Sickel, Winfried
1998
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
1999
Some remarks on trigonometric interpolation on the $$n$$-torus. Zbl 0768.41016
Sickel, W.
1991
Characterizations of Besov-type and Triebel-Lizorkin-type spaces via averages on balls. Zbl 1372.42020
Zhuo, Ciqiang; Sickel, Winfried; Yang, Dachun; Yuan, Wen
2017
Characterization of Besov-Triebel-Lizorkin spaces via approximation by Whittaker’s cardinal series and related unconditional Schauder bases. Zbl 0762.41033
Sickel, Winfried
1992
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
2013
Weyl numbers of embeddings of tensor product Besov spaces. Zbl 1323.47018
Nguyen, Van Kien; Sickel, Winfried
2015
Characterization of periodic function spaces via means of Abel-Poisson and Bessel-potential type. Zbl 0704.42006
Schmeisser, H. J.; Sickel, W.
1990
How anisotropic mixed smoothness affects the decay of singular numbers for Sobolev embeddings. Zbl 1470.46058
Kühn, Thomas; Sickel, Winfried; Ullrich, Tino
2021
Besov regularity for the Poisson equation in smooth and polyhedral cones. Zbl 1169.35018
Dahlke, Stephan; Sickel, Winfried
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 0912.46038
Sickel, Winfried
1998
Interpolation on sparse grids and tensor products of Nikol’skij-Besov spaces. Zbl 0945.41002
Sickel, Winfried; Sprengel, Frauke
1999
A remark on orthonormal bases of compactly supported wavelets in Triebel- Lizorkin spaces. The case $$0<p, q<\infty$$. Zbl 0755.42018
Sickel, Winfried
1991
Pointwise multiplication in Triebel-Lizorkin spaces. Zbl 0768.46022
Sickel, Winfried
1993
Composition operators acting on Sobolev spaces of fractional order. — A survey on sufficient and necessary conditions. Zbl 0896.47052
Sickel, Winfried
1996
Strong summability of Fourier series and generalized Morrey spaces. Zbl 1399.42009
Baituyakova, Z.; Sickel, W.
2017
Several types of intermediate Besov-Orlicz spaces. Zbl 0992.46028
Pick, Luboš; Sickel, Winfried
1993
On boundedness of superposition operators in spaces of Triebel-Lizorkin type. Zbl 0693.46039
Sickel, Winfried
1989
Multiplication and composition in weighted modulation spaces. Zbl 1391.46042
Reich, Maximilian; Sickel, Winfried
2016
Isotropic and dominating mixed Besov spaces: a comparison. Zbl 1395.46029
Nguyen, Van Kien; Sickel, Winfried
2017
Approximation from sparse grids and function spaces of dominating mixed smoothness. Zbl 1110.41009
Sickel, Winfried
2006
Traces of functions with a dominating mixed derivative in $$\mathbb R^3$$. Zbl 1174.42027
Vybíral, Jan; Sickel, Winfried
2007
Pointwise multipliers for Sobolev and Besov spaces of dominating mixed smoothness. Zbl 1382.46023
Nguyen Van Kien; Sickel, Winfried
2017
The Haar system in Besov-type spaces. Zbl 1443.42020
Yuan, Wen; Sickel, Winfried; Yang, Dachun
2020
On optimal approximation in periodic Besov spaces. Zbl 1421.42002
Cobos, Fernando; Kühn, Thomas; Sickel, Winfried
2019
Complex interpolation of Lizorkin-Triebel-Morrey spaces on domains. Zbl 1478.46017
Zhuo, Ciqiang; Hovemann, Marc; Sickel, Winfried
2020
On strong summability of Jacobi-Fourier-expansions and smoothness properties of functions. Zbl 0479.42006
Runst, Thomas; Sickel, Winfried
1980
Optimal approximation of elliptic problems by linear and nonlinear mappings. III: Frames. Zbl 1129.65038
Dahlke, Stephan; Novak, Erich; Sickel, Winfried
2007
On pointwise multipliers in Besov-Triebel-Lizorkin spaces. Zbl 0666.46040
Sickel, Winfried
1987
Some error estimates for periodic interpolation of functions from Besov spaces. Zbl 0955.41003
Sickel, Winfried; Sprengel, Frauke
1999
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
2010
Strong summability of Fourier series and Morrey spaces. Zbl 1299.42009
Sautbekova, Merey; Sickel, Winfried
2014
Subradial functions and compact embeddings. Zbl 1320.46032
Sickel, Winfried; Skrzypczak, Leszek
2014
A necessary condition for composition in Besov spaces. Zbl 1448.46028
Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried
2020
Pointwise multipliers for Besov spaces of dominating mixed smoothness. II. Zbl 1402.46027
Nguyen, Van Kien; Sickel, Winfried
2017
Some observations on equivalent quasi-norms in generalized Besov spaces and approximation of functions in Lipschitz-norms. Zbl 0651.46039
Sickel, W.
1986
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.
1997
Approximate recovery of functions and Besov spaces of dominating mixed smoothness. Zbl 1082.42004
Sickel, Winfried
2003
Homeomorphisms which act on Besov spaces. Zbl 0879.47013
Bourdaud, Gérard; Sickel, Winfried
1996
On a problem of Jaak Peetre concerning pointwise multipliers of Besov spaces. Zbl 1404.46035
Nguyen, Van Kien; Sickel, Winfried
2018
How anisotropic mixed smoothness affects the decay of singular numbers for Sobolev embeddings. Zbl 1470.46058
Kühn, Thomas; Sickel, Winfried; Ullrich, Tino
2021
The Haar system in Besov-type spaces. Zbl 1443.42020
Yuan, Wen; Sickel, Winfried; Yang, Dachun
2020
Complex interpolation of Lizorkin-Triebel-Morrey spaces on domains. Zbl 1478.46017
Zhuo, Ciqiang; Hovemann, Marc; Sickel, Winfried
2020
A necessary condition for composition in Besov spaces. Zbl 1448.46028
Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried
2020
Besov-type spaces and differences. Zbl 1463.46057
Hovemann, Marc; Sickel, Winfried
2020
On optimal approximation in periodic Besov spaces. Zbl 1421.42002
Cobos, Fernando; Kühn, Thomas; Sickel, Winfried
2019
On a problem of Jaak Peetre concerning pointwise multipliers of Besov spaces. Zbl 1404.46035
Nguyen, Van Kien; Sickel, Winfried
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
2017
Strong summability of Fourier series and generalized Morrey spaces. Zbl 1399.42009
Baituyakova, Z.; Sickel, W.
2017
Isotropic and dominating mixed Besov spaces: a comparison. Zbl 1395.46029
Nguyen, Van Kien; Sickel, Winfried
2017
Pointwise multipliers for Sobolev and Besov spaces of dominating mixed smoothness. Zbl 1382.46023
Nguyen Van Kien; Sickel, Winfried
2017
Pointwise multipliers for Besov spaces of dominating mixed smoothness. II. Zbl 1402.46027
Nguyen, Van Kien; Sickel, Winfried
2017
Isotropic and dominating mixed Lizorkin-Triebel spaces – a comparison. Zbl 1399.46048
Nguyen, V. K.; Sickel, W.
2017
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
2016
Optimal approximation of multivariate periodic Sobolev functions in the sup-norm. Zbl 1357.46028
Cobos, Fernando; Kühn, Thomas; Sickel, Winfried
2016
Non-analytic superposition results on modulation spaces with subexponential weights. Zbl 1360.47012
Reich, Maximilian; Reissig, Michael; Sickel, Winfried
2016
Multiplication and composition in weighted modulation spaces. Zbl 1391.46042
Reich, Maximilian; Sickel, Winfried
2016
Interpolation of Morrey-Campanato and related smoothness spaces. Zbl 1337.46030
Yuan, Wen; Sickel, Winfried; Yang, DaChun
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
2015
Anisotropic Lizorkin-Triebel spaces with mixed norms – traces on smooth boundaries. Zbl 1345.46030
Johnsen, J.; Munch Hansen, S.; Sickel, W.
2015
A Sobolev non embedding. Zbl 1341.46024
Mironescu, Petru; Sickel, Winfried
2015
Weyl numbers of embeddings of tensor product Besov spaces. Zbl 1323.47018
Nguyen, Van Kien; Sickel, Winfried
2015
Approximation numbers of Sobolev embeddings-sharp constants and tractability. Zbl 1334.47028
Kühn, Thomas; Sickel, Winfried; Ullrich, Tino
2014
Anisotropic, mixed-norm Lizorkin-Triebel spaces and diffeomorphic maps. Zbl 1305.46029
Johnsen, J.; Munch Hansen, S.; Sickel, W.
2014
Complex interpolation of weighted Besov and Lizorkin-Triebel spaces. Zbl 1314.46048
Sickel, Winfried; Skrzypczak, Leszek; Vybíral, Jan
2014
Composition operators acting on Besov spaces on the real line. Zbl 1314.46038
Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried
2014
The radial lemma of Strauss in the context of Morrey spaces. Zbl 1302.46025
Sickel, Winfried; Yang, Dachun; Yuan, Wen
2014
Strong summability of Fourier series and Morrey spaces. Zbl 1299.42009
Sautbekova, Merey; Sickel, Winfried
2014
Subradial functions and compact embeddings. Zbl 1320.46032
Sickel, Winfried; Skrzypczak, Leszek
2014
Smoothness spaces related to Morrey spaces – a survey. II. Zbl 1290.46028
Sickel, W.
2013
On the coincidence of certain approaches to smoothness spaces related to Morrey spaces. Zbl 1286.46042
Yuan, Wen; Sickel, Winfried; Yang, Dachun
2013
Characterisation by local means of anisotropic Lizorkin-Triebel spaces with mixed norms. Zbl 1284.46028
Johnsen, J.; Munch Hansen, S.; Sickel, W.
2013
On Besov regularity of solutions to nonlinear elliptic partial differential equations. Zbl 1275.41021
Dahlke, Stephan; Sickel, Winfried
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
2013
Smoothness spaces related to Morrey spaces: a survey. I. Zbl 1274.46074
Sickel, W.
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
2012
Traces of vector-valued Sobolev spaces. Zbl 1254.46038
Scharf, Benjamin; Schmeißer, Hans-Jürgen; Sickel, Winfried
2012
On the interplay of regularity and decay in case of radial functions. II. Homogeneous spaces. Zbl 1254.46039
Sickel, Winfried; Skrzypczak, Leszek
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
2012
Spline interpolation on sparse grids. Zbl 1219.41012
Sickel, Winfried; Ullrich, Tino
2011
Composition operators on function spaces with fractional order of smoothness. Zbl 1238.46023
Bourdaud, Gérard; Sickel, Winfried
2011
Best $$m$$-term approximation and Lizorkin-Triebel spaces. Zbl 1229.41028
Hansen, Markus; Sickel, Winfried
2011
Morrey and Campanato meet Besov, Lizorkin and Triebel. Zbl 1207.46002
Yuan, Wen; Sickel, Winfried; Yang, Dachun
2010
Composition operators on Lizorkin-Triebel spaces. Zbl 1219.47092
Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried
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
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
2010
Tensor products of Sobolev-Besov spaces and applications to approximation from the hyperbolic cross. Zbl 1194.46056
Sickel, Winfried; Ullrich, Tino
2009
Besov regularity for the Poisson equation in smooth and polyhedral cones. Zbl 1169.35018
Dahlke, Stephan; Sickel, Winfried
2009
On the trace problem for Lizorkin–Triebel spaces with mixed norms. Zbl 1154.46017
Johnsen, Jon; Sickel, Winfried
2008
Towards sharp superposition theorems in Besov and Lizorkin-Triebel spaces. Zbl 1149.46026
Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried
2008
A direct proof of Sobolev embeddings for quasi-homogeneous Lizorkin-Triebel spaces with mixed norms. Zbl 1140.46014
Johnsen, Jon; Sickel, Winfried
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
2007
Traces of functions with a dominating mixed derivative in $$\mathbb R^3$$. Zbl 1174.42027
Vybíral, Jan; Sickel, Winfried
2007
Optimal approximation of elliptic problems by linear and nonlinear mappings. III: Frames. Zbl 1129.65038
Dahlke, Stephan; Novak, Erich; Sickel, Winfried
2007
Entropy numbers of embeddings of weighted Besov spaces. II. Zbl 1103.41027
Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek
2006
Superposition operators and functions of bounded $$p$$-variation. Zbl 1134.46015
Bourdaud, Gérard; Lanza de Cristoforis, Massimo; Sickel, Winfried
2006
Entropy numbers of embeddings of weighted Besov spaces. Zbl 1100.41015
Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek
2006
Optimal approximation of elliptic problems by linear and nonlinear mappings. II. Zbl 1102.65061
Dahlke, Stephan; Novak, Erich; Sickel, Winfried
2006
Optimal approximation of elliptic problems by linear and nonlinear mappings. I. Zbl 1092.65044
Dahlke, Stephan; Novak, Erich; Sickel, Winfried
2006
An optimal symbolic calculus on Besov algebras. Zbl 1117.46033
Bourdaud, Gérard; Moussai, Madani; Sickel, Winfried
2006
Approximation from sparse grids and function spaces of dominating mixed smoothness. Zbl 1110.41009
Sickel, Winfried
2006
Superposition operators and functions of bounded $$p$$-variation. II. Zbl 1090.47050
Bourdaud, Gérard; Lanza de Cristoforis, Massimo; Sickel, Winfried
2005
Vector-valued Sobolev spaces and Gagliardo–Nirenberg inequalities. Zbl 1099.46027
Schmeißer, Hans-Jürgen; Sickel, Winfried
2005
Spaces of functions of mixed smoothness and approximation from hyperbolic crosses. Zbl 1045.41009
Schmeisser, Hans-Jürgen; Sickel, Winfried
2004
Entropy numbers of Sobolev embeddings of radial Besov spaces. Zbl 1047.47016
Kühn, Thomas; Leopold, Hans-Gerd; Sickel, Winfried; Skrzypczak, Leszek
2003
Hyperbolic equations, function spaces with exponential weights and Nemytskij operators. Zbl 1225.47077
Bourdaud, Gérard; Reissig, M.; Sickel, Winfried
2003
Approximate recovery of functions and Besov spaces of dominating mixed smoothness. Zbl 1082.42004
Sickel, Winfried
2003
Functional calculus on $$BMO$$ and related spaces. Zbl 1007.47028
Bourdaud, Gérard; Lanza de Cristoforis, Massimo; Sickel, Winfried
2002
Pointwise multipliers of Besov spaces of smoothness zero and spaces of continuous functions. Zbl 1036.46024
Koch, Herbert; Sickel, Winfried
2002
Radial subspaces of Besov and Lizorkin-Triebel classes: Extended Strauss lemma and compactness of embeddings. Zbl 0990.46020
Sickel, Winfried; Skrzypczak, Leszek
2000
Sampling theory and function spaces. Zbl 0977.94010
Schmeisser, Hans-Jürgen; Sickel, Winfried
2000
Traces of anisotropic Besov-Lizorkin-Triebel spaces—a complete treatment of the borderline cases. Zbl 0970.46019
Farkas, Walter; Johnsen, Jon; Sickel, Winfried
2000
On pointwise multipliers for $$F_{p,q}^s (\mathbb{R}^n)$$ in case $$\sigma_{p,q}< s< n/p$$. Zbl 0956.46027
Sickel, Winfried
1999
Pointwise multipliers of Lizorkin-Triebel spaces. Zbl 0954.46017
Sickel, Winfried
1999
The characterization of the regularity of the Jacobian determinant in the framework of potential spaces. Zbl 0923.42016
Sickel, Winfried; Youssfi, Abdellah
1999
Changes of variable in Besov spaces. Zbl 0930.46026
Bourdaud, Gerard; Sickel, Winfried
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
1999
Interpolation on sparse grids and tensor products of Nikol’skij-Besov spaces. Zbl 0945.41002
Sickel, Winfried; Sprengel, Frauke
1999
Some error estimates for periodic interpolation of functions from Besov spaces. Zbl 0955.41003
Sickel, Winfried; Sprengel, Frauke
1999
Necessary conditions on composition operators acting between Besov spaces. The case $$1<s<n/p$$. III. Zbl 0914.46030
Sickel, Winfried
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
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
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.
1997
Sobolev spaces of fractional order, Nemytskij operators and nonlinear partial differential equations. Zbl 0873.35001
Runst, Thomas; Sickel, Winfried
1996
Composition operators acting on Sobolev spaces of fractional order. — A survey on sufficient and necessary conditions. Zbl 0896.47052
Sickel, Winfried
1996
Homeomorphisms which act on Besov spaces. Zbl 0879.47013
Bourdaud, Gérard; Sickel, Winfried
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.
1995
Pointwise multiplication in Triebel-Lizorkin spaces. Zbl 0768.46022
Sickel, Winfried
1993
Several types of intermediate Besov-Orlicz spaces. Zbl 0992.46028
Pick, Luboš; Sickel, Winfried
1993
Superposition of functions in Sobolev spaces of fractional order. A survey. Zbl 0792.47062
Sickel, Winfried
1992
Characterization of Besov-Triebel-Lizorkin spaces via approximation by Whittaker’s cardinal series and related unconditional Schauder bases. Zbl 0762.41033
Sickel, Winfried
1992
Some remarks on trigonometric interpolation on the $$n$$-torus. Zbl 0768.41016
Sickel, W.
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
1991
Spline representations of functions in Besov-Triebel-Lizorkin spaces on $${\mathbb{R}}^ n$$. Zbl 0731.41014
Sickel, Winfried
1990
Characterization of periodic function spaces via means of Abel-Poisson and Bessel-potential type. Zbl 0704.42006
Schmeisser, H. J.; Sickel, W.
1990
On boundedness of superposition operators in spaces of Triebel-Lizorkin type. Zbl 0693.46039
Sickel, Winfried
1989
On strong summability of multiple Fourier series and approximation of periodic functions. Zbl 0642.42015
Schmeisser, Hans-Jürgen; Sickel, Winfried
1987
On pointwise multipliers in Besov-Triebel-Lizorkin spaces. Zbl 0666.46040
Sickel, Winfried
1987
Some observations on equivalent quasi-norms in generalized Besov spaces and approximation of functions in Lipschitz-norms. Zbl 0651.46039
Sickel, W.
1986
Periodic spaces and relations to strong summability of multiple Fourier series. Zbl 0614.42002
Sickel, Winfried
1985
...and 2 more Documents
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### 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
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### 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
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### 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)