77 citations · 120 across the 5 of their papers we have counts for
5 papers
Characterisation by Local Means of Anisotropic Lizorkin--Triebel Spaces with Mixed Norms
Jon Johnsen, Sabrina Munch Hansen, Winfried Sickel
This is a contribution to the theory of Lizorkin--Triebel spaces having mixed Lebesgue norms and quasi-homogeneous smoothness. We discuss their characterisation in terms of general…
Anisotropic, Mixed-Norm Lizorkin--Triebel Spaces and Diffeomorphic Maps
Jon Johnsen, Sabrina Munch Hansen, Winfried Sickel
This article gives general results on invariance of anisotropic Lizorkin--Triebel spaces with mixed norms under coordinate transformations on Euclidean space, open sets and cylindr…
Pointwise Multipliers for Sobolev and Besov Spaces of Dominating Mixed Smoothness
Van Kien Nguyen, Winfried Sickel
Under certain restrictions we describe the set of all pointwise multipliers in case of Sobolev and Besov spaces of dominating mixed smoothness. In addition we shall give necessary…
Weyl Numbers of Embeddings of Tensor Product Besov Spaces
Van Kien Nguyen, Winfried Sickel
In this paper we investigate the asymptotic behaviour of Weyl numbers of embeddings of tensor product Besov spaces into Lebesgue spaces. These results will be compared with the kno…
Interpolation of Morrey-Campanato and Related Smoothness Spaces
Wen Yuan, Winfried Sickel, Dachun Yang
In this article, the authors study the interpolation of Morrey-Campanato spaces and some smoothness spaces based on Morrey spaces, e.\,g., Besov-type and Triebel-Lizorkin-type spac…