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Mathematics

D-Index
31
Citations
4735
World Ranking
3316
National Ranking
202

Overview

Winfried Sickel is affiliated with Friedrich Schiller University Jena in Germany. Their research primarily focuses on various aspects within the field of mathematics, with notable contributions to applied mathematics, mathematical physics, numerical analysis, statistics, probability, uncertainty, and mechanics of materials.

Their work spans several interconnected subfields and topics that illustrate a broad and deep engagement with mathematical sciences. The main fields of study and subfields include:

  • Applied Mathematics
  • Mathematical Physics
  • Numerical Analysis
  • Statistics, Probability and Uncertainty
  • Mechanics of Materials

The main topics of Sickel's research cover a range of specialized areas within these disciplines:

  • Advanced Harmonic Analysis Research
  • Mathematical Analysis and Transform Methods
  • Advanced Mathematical Physics Problems
  • Mathematical Approximation and Integration
  • Algebraic and Geometric Analysis
  • Advanced Banach Space Theory
  • Probabilistic and Robust Engineering Design

Winfried Sickel has collaborated frequently with several key researchers, indicating a collaborative approach within the mathematical community. Frequent co-authors include:

  • Dachun Yang
  • Wen Yuan
  • Tino Ullrich
  • Marc Hovemann
  • Yinqin Li

Publications by Sickel have appeared in a variety of journals and repositories, with a concentration in both traditional and online academic venues. Frequent publication venues include:

  • arXiv (Cornell University)
  • Journal of Functional Analysis
  • Proceedings of the Steklov Institute of Mathematics
  • Труды Математического института им Стеклова
  • Journal of Complexity

Several recent papers demonstrate the range and topics of their research publications:

  • How anisotropic mixed smoothness affects the decay of singular numbers for Sobolev embeddings, 2020, Journal of Complexity
  • Complex Interpolation of Lizorkin-Triebel-Morrey Spaces on Domains, 2020, Analysis and Geometry in Metric Spaces
  • The Haar system in Besov-type spaces, 2020, Studia Mathematica
  • s-Numbers of embeddings of weighted Wiener algebras, 2022, Journal of Approximation Theory
  • Pointwise multipliers for Besov spaces with only logarithmic smoothness, 2023, Annali di Matematica Pura ed Applicata (1923 -)

Best Publications

  • Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations

    Thomas Runst;Winfried Sickel

  • Morrey and Campanato Meet Besov, Lizorkin and Triebel

    Wen Yuan;Winfried Sickel;Dachun Yang

  • Hölder Inequalities and Sharp Embeddings in Function Spaces of $B^s_{pq}$ and $F^s_{pq}$ Type

    Winfried Sickel;Hans Triebel

  • Tensor products of Sobolev-Besov spaces and applications to approximation from the hyperbolic cross

    Winfried Sickel;Tino Ullrich

  • On the trace problem for Lizorkin–Triebel spaces with mixed norms

    Jon Johnsen;Winfried Sickel

  • ENTROPY NUMBERS OF EMBEDDINGS OF WEIGHTED BESOV SPACES. II

    Thomas Kühn;Hans-Gerd Leopold;Winfried Sickel;Leszek Skrzypczak

  • Smolyak’s Algorithm, Sampling on Sparse Grids and Function Spaces of Dominating Mixed Smoothness

    Winfried Sickel;Tino Ullrich

  • Interpolation of Morrey-Campanato and related smoothness spaces

    Wen Yuan;Winfried Sickel;DaChun Yang

  • Optimal approximation of elliptic problems by linear and nonlinear mappings I

    Stephan Dahlke;Erich Novak;Winfried Sickel

  • Best m-term approximation and Lizorkin–Triebel spaces

    Markus Hansen;Winfried Sickel

  • Superposition operators and functions of bounded $p$-variation

    Gérard Bourdaud;Massimo Lanza de Cristoforis;Winfried Sickel

  • Approximation of Mixed Order Sobolev Functions on the d-Torus: Asymptotics, Preasymptotics, and d-Dependence

    Thomas Kühn;Winfried Sickel;Tino Ullrich

  • Entropy Numbers of Embeddings of Weighted Besov Spaces

    Thomas Kuhn;Hans-Gerd Leopold;Winfried Sickel;Leszek Skrzypczak

  • The Smolyak agorithm, sampling on sparse grids and functions spaces of dominated mixed smoothness

    Winfried Sickel;Tino Ullrich

  • A direct proof of Sobolev embeddings for quasi-homogeneous Lizorkin-Triebel spaces with mixed norms

    Jon Johnsen;Winfried Sickel

  • Pointwise multipliers of Lizorkin-Triebel spaces

    Winfried Sickel

  • Radial subspaces of Besov and Lizorkin-Triebel classes: Extended strauss lemma and compactness of embeddings

    Winfried Sickel;Leszek Skrzypczak

  • Optimal approximation of elliptic problems by linear and nonlinear mappings IV: Errors in L2 and other norms

    Stephan Dahlke;Erich Novak;Winfried Sickel

  • Best m-Term Approximation and Sobolev–Besov Spaces of Dominating Mixed Smoothness—the Case of Compact Embeddings

    Markus Hansen;Winfried Sickel

  • Spaces of functions of mixed smoothness and approximation from hyperbolic crosses

    Hans-Jürgen Schmeisser;Winfried Sickel

  • Spline Interpolation on Sparse Grids

    Winfried Sickel;Tino Ullrich

  • Best m-term aproximation and tensor product of Sobolev and Besov spaces-the case of non-compact embeddings

    Markus Hansen;Winfried Sickel

  • Interpolation of Morrey-Campanato and Related Smoothness Spaces

    Wen Yuan;Winfried Sickel;Dachun Yang

  • Approximation of mixed order Sobolev functions on the $d$-torus -- Asymptotics, preasymptotics and $d$-dependence

    Thomas Kuehn;Winfried Sickel;Tino Ullrich

  • Optimal Approximation of Elliptic Problems by Linear and Nonlinear Mappings II

    Stephan Dahlke;Erich Novak;Winfried Sickel

Frequent Co-Authors

Wen Yuan
Wen Yuan Beijing Normal University
Dachun Yang
Dachun Yang Beijing Normal University
Stephan Dahlke
Stephan Dahlke Philipp University of Marburg
Erich Novak
Erich Novak Friedrich Schiller University Jena
Hans Triebel
Hans Triebel Friedrich Schiller University Jena

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