68 citations · 110 across the 6 of their papers we have counts for
8 papers
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…
Traces of anisotropic Besov--Lizorkin--Triebel spaces---a complete treatment of the borderline cases
Walter Farkas, Jon Johnsen, Winfried Sickel
Including the previously untreated borderline cases, the trace spaces in the distributional sense of the Besov--Lizorkin--Triebel spaces are determined for the anisotropic (or quas…
On a Problem of Jaak Peetre Concerning Pointwise Multipliers of Besov Spaces
Van Kien Nguyen, Winfried Sickel
We characterize the set of all pointwise multipliers of the Besov spaces under the restrictions and .
A direct proof of Sobolev embeddings for quasi-homogeneous Lizorkin--Triebel spaces with mixed norms
Jon Johnsen, Winfried Sickel
The article deals with a simplified proof of the Sobolev embedding theorem for Lizorkin--Triebel spaces (that contain the -Sobolev spaces as special cases). The method…
On the trace problem for Triebel--Lizorkin spaces with mixed norms
Jon Johnsen, Winfried Sickel
The subject is traces of Sobolev spaces with mixed Lebesgue norms on Euclidean space. Specifically, restrictions to the hyperplanes given by the first and last coordinates are appl…
On orders of approximation functions of generalized smoothness in Lorentz spaces
G. Akishev
This paper considers the Lorentz space with mixed norm of periodic functions of many variables and of the generalized Nikol'skii -- Besov classes. Estimates for the order of approx…