3 papers
math.FA2022
Nuclear and compact embeddings in function spaces of generalised smoothness
Dorothee D. Haroske, Hans-Gerd Leopold, Susana D. Moura +1
We study nuclear embeddings for function spaces of generalised smoothness defined on a bounded Lipschitz domain . This covers, in particular, the well-known s…
math.FA2020
Nuclear embeddings in general vector-valued sequence spaces with an application to Sobolev embeddings of function spaces on quasi-bounded domains
Dorothee D. Haroske, Hans-Gerd Leopold, Leszek Skrzypczak
We study nuclear embeddings for spaces of Besov and Triebel-Lizorkin type defined on quasi-bounded domains . The counterpart for such function spaces define…
math.FA2012
On generalized Besov and Triebel-Lizorkin spaces of regular distributions
António Caetano, Hans-Gerd Leopold
We establish conditions on the parameters which are both necessary and sufficient in order that Besov and Triebel-Lizorkin spaces of generalized smoothness contain only regular dis…