77 citations · 304 across the 30 of their papers we have counts for
33 papers
Regularity of Characteristic Functions in Besov-Type and Triebel--Lizorkin-Type Spaces
Wen Yuan, Winfried Sickel, Dachun Yang
In this article, the authors determine the optimal regularity of characteristic functions in Besov-type and Triebel--Lizorkin-type spaces under restrictions on the measure of the $…
Pointwise Multipliers for Besov Spaces with Only Logarithmic Smoothness
Ziwei Li, Winfried Sickel, Dachun Yang +1
In this article, we establish a characterization of the set of all pointwise multipliers of Besov spaces wi…
-Numbers of Embeddings of Weighted Wiener Algebras
Van Dung Nguyen, Van Kien Nguyen, Winfried Sickel
In this paper we study the asymptotic behavior of Kolmogorov, approximation, Bernstein and Weyl numbers of embeddings $ \mathcal{A}^{s,r}_{\rm mix}(\mathbb{T}^d) \to L_2(\mathbb{T}…
Complex Interpolation of Lizorkin-Triebel-Morrey Spaces on Domains
Ciqiang Zhuo, Marc Hovemann, Winfried Sickel
In this article the authors study complex interpolation of Sobolev-Morrey spaces and their generalizations, Lizorkin-Triebel-Morrey spaces. Both scales are considered on bounded do…
How anisotropic mixed smoothness affects the decay of singular numbers of Sobolev embeddings
Thomas Kuehn, Winfried Sickel, Tino Ullrich
We continue the research on the asymptotic and preasymptotic decay of singular numbers for tensor product Hilbert-Sobolev type embeddings in high dimensions with special emphasis o…
Properties of Kondratiev spaces
Stephan Dahlke, Markus Hansen, Cornelia Schneider +1
In this paper, we investigate Kondratiev spaces on domains of polyhedral type. In particular, we will be concerned with necessary and sufficient conditions for continuous and compa…