Winfried Sickel

3.9k total citations · 2 hit papers
97 papers, 2.2k citations indexed

About

Winfried Sickel is a scholar working on Applied Mathematics, Mathematical Physics and Numerical Analysis. According to data from OpenAlex, Winfried Sickel has authored 97 papers receiving a total of 2.2k indexed citations (citations by other indexed papers that have themselves been cited), including 89 papers in Applied Mathematics, 44 papers in Mathematical Physics and 31 papers in Numerical Analysis. Recurrent topics in Winfried Sickel's work include Advanced Harmonic Analysis Research (79 papers), Mathematical Analysis and Transform Methods (41 papers) and Mathematical Approximation and Integration (30 papers). Winfried Sickel is often cited by papers focused on Advanced Harmonic Analysis Research (79 papers), Mathematical Analysis and Transform Methods (41 papers) and Mathematical Approximation and Integration (30 papers). Winfried Sickel collaborates with scholars based in Germany, France and China. Winfried Sickel's co-authors include Thomas Runst, Dachun Yang, Wen Yuan, Tino Ullrich, Leszek Skrzypczak, Thomas Kühn, Gérard Bourdaud, Hans Triebel, Stephan Dahlke and Hans‐Gerd Leopold and has published in prestigious journals such as SHILAP Revista de lepidopterología, Lecture notes in mathematics and Journal of Mathematical Analysis and Applications.

In The Last Decade

Winfried Sickel

94 papers receiving 2.0k citations

Hit Papers

Sobolev Spaces of Fractional Order, Nemytskij Operators, ... 1996 2026 2006 2016 1996 2010 200 400 600
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations
    1996 691 citations Winfried Sickel et al. profile →
  2. Morrey and Campanato Meet Besov, Lizorkin and Triebel
    2010 228 citations Wen Yuan, Winfried Sickel et al. profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Winfried Sickel Germany 22 1.8k 1.1k 441 398 232 97 2.2k
Jöran Bergh Sweden 8 2.4k 1.3× 2.0k 1.7× 252 0.6× 595 1.5× 406 1.8× 13 3.2k
Jaak Peetre Sweden 26 2.8k 1.5× 1.8k 1.5× 298 0.7× 598 1.5× 231 1.0× 104 3.3k
Luigi Rodino Italy 20 1.5k 0.8× 859 0.8× 287 0.7× 208 0.5× 74 0.3× 100 1.9k
Mihai Putinar United States 24 1.4k 0.8× 928 0.8× 474 1.1× 878 2.2× 145 0.6× 129 2.6k
Jörgen Löfström Sweden 9 2.5k 1.4× 2.0k 1.7× 292 0.7× 624 1.6× 412 1.8× 16 3.3k
Richard L. Wheeden United States 31 3.8k 2.1× 1.8k 1.6× 356 0.8× 921 2.3× 122 0.5× 124 4.3k
Daniel Alpay Israel 22 1.8k 1.0× 776 0.7× 130 0.3× 584 1.5× 51 0.2× 270 2.4k
A. P. Calderón United States 20 2.9k 1.6× 1.7k 1.5× 342 0.8× 602 1.5× 137 0.6× 34 3.4k
Pertti Mattila Finland 23 1.7k 0.9× 2.1k 1.9× 169 0.4× 667 1.7× 137 0.6× 72 3.2k
Stephen Wainger United States 30 3.0k 1.6× 1.6k 1.4× 325 0.7× 470 1.2× 159 0.7× 83 3.6k

Countries citing papers authored by Winfried Sickel

Since Specialization
Citations

This map shows the geographic impact of Winfried Sickel's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Winfried Sickel with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Winfried Sickel more than expected).

Fields of papers citing papers by Winfried Sickel

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Winfried Sickel. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Winfried Sickel. The network helps show where Winfried Sickel may publish in the future.

Co-authorship network of co-authors of Winfried Sickel

This figure shows the co-authorship network connecting the top 25 collaborators of Winfried Sickel. A scholar is included among the top collaborators of Winfried Sickel based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Winfried Sickel. Winfried Sickel is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Sickel, Winfried, et al.. (2024). Wavelet and Fourier analytic characterizations of pointwise multipliers of Besov spaces Bp,ps(Rn) with 0 < p ≤ 1. Journal of Functional Analysis. 287(12). 110654–110654.
2.
Sickel, Winfried. (2023). On the Regularity of Characteristic Functions of Weakly Exterior Thick Domains. Proceedings of the Steklov Institute of Mathematics. 323(1). 130–158.
3.
Sickel, Winfried, et al.. (2023). Characterizations of pointwise multipliers of Besov spaces in endpoint cases with an application to the duality principle. Journal of Functional Analysis. 286(1). 110198–110198. 1 indexed citations
4.
Sickel, Winfried, et al.. (2023). Pointwise multipliers for Besov spaces $$B^{0,b}_{p,\infty }({\mathbb {R}}^n)$$ with only logarithmic smoothness. Annali di Matematica Pura ed Applicata (1923 -). 203(2). 703–763. 3 indexed citations
5.
Kühn, Thomas, Winfried Sickel, & Tino Ullrich. (2020). How anisotropic mixed smoothness affects the decay of singular numbers for Sobolev embeddings. Journal of Complexity. 63. 101523–101523. 5 indexed citations
6.
Yuan, Wen, Winfried Sickel, & Dachun Yang. (2018). Regularity Properties of the Haar System with Respect to Besov-type Spaces. arXiv (Cornell University). 1 indexed citations
7.
Sickel, Winfried, et al.. (2015). Weyl numbers of embeddings of tensor product Besov spaces. Journal of Approximation Theory. 200. 170–220. 2 indexed citations
8.
Kühn, Thomas, Winfried Sickel, & Tino Ullrich. (2013). Approximation numbers of Sobolev embeddings—Sharp constants and tractability. Journal of Complexity. 30(2). 95–116. 21 indexed citations
9.
Bourdaud, Gérard & Winfried Sickel. (2011). Composition Operators on Function Spaces with Fractional Order of Smoothness (Harmonic Analysis and Nonlinear Partial Differential Equations). Kyoto University Research Information Repository (Kyoto University). 26. 93–132. 3 indexed citations
10.
Sickel, Winfried, et al.. (2010). Best m-term aproximation and tensor product of Sobolev and Besov spaces-the case of non-compact embeddings. East journal on approximations. 16(4). 345–388. 23 indexed citations
11.
Bourdaud, Gérard, et al.. (2010). Composition operators on Lizorkin–Triebel spaces. Journal of Functional Analysis. 259(5). 1098–1128. 18 indexed citations
12.
Dahlke, Stephan, Erich Novak, & Winfried Sickel. (2009). Optimal approximation of elliptic problems by linear and nonlinear mappings IV: Errors in L2 and other norms. Journal of Complexity. 26(1). 102–124. 37 indexed citations
13.
Sickel, Winfried & Tino Ullrich. (2009). Tensor products of Sobolev–Besov spaces and applications to approximation from the hyperbolic cross. Journal of Approximation Theory. 161(2). 748–786. 45 indexed citations
14.
Dahlke, Stephan, Erich Novak, & Winfried Sickel. (2005). Optimal approximation of elliptic problems by linear and nonlinear mappings I. Journal of Complexity. 22(1). 29–49. 34 indexed citations
15.
Schmeißer, Hans‐Jürgen & Winfried Sickel. (2004). Spaces of functions of mixed smoothness and approximation from hyperbolic crosses. Journal of Approximation Theory. 128(2). 115–150. 21 indexed citations
16.
Kühn, Thomas, Hans‐Gerd Leopold, Winfried Sickel, & Leszek Skrzypczak. (2003). Entropy numbers of Sobolev embeddings of radial Besov spaces. Journal of Approximation Theory. 121(2). 244–268. 13 indexed citations
17.
Bourdaud, Gérard, Massimo Lanza de Cristoforis, & Winfried Sickel. (2002). Functional Calculus on BMO and Related Spaces. Journal of Functional Analysis. 189(2). 515–538. 21 indexed citations
18.
Farkas, Walter, et al.. (2000). Traces of anisotropic Besov-Lizorkin-Triebel spaces---a complete treatment of the borderline cases. Mathematica Bohemica. 125(1). 1–37. 20 indexed citations
19.
Sickel, Winfried, et al.. (1998). Some error estimates for periodic interpolation of functions from Besov spaces. Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands. 1–18. 5 indexed citations
20.
Sickel, Winfried. (1993). Pointwise multiplication in Triebel-Lizorkin spaces. Forum Mathematicum. 5(5). 8 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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