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math.AP2017
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…
math.AP2017★ 40 cited
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…
math.AP2017★ 68 cited
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…