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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.FA2022
Nuclear embeddings of Morrey sequence spaces and smoothness Morrey spaces
Dorothee D. Haroske, Leszek Skrzypczak
We study nuclear embeddings for spaces of Morrey type, both in its sequence space version and as smoothness spaces of functions defined on a bounded domain …
math.FA2022
Nuclear Fourier transforms
Dorothee D. Haroske, Leszek Skrzypczak, Hans Triebel
The paper deals with the problem under which conditions for the parameters , the Fourier transform is a nuclear mapp…