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Generalised Morrey sequence spaces
Dorothee D. Haroske, Leszek Skrzypczak
Generalised Morrey (function) spaces enjoyed some interest recently and found applications to PDE. Here we turn our attention to their discrete counterparts. We define generalised…
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 …
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…
Morrey smoothness spaces: A new approach
Dorothee D. Haroske, Hans Triebel
In the recent years so-called Morrey smoothness spaces attracted a lot of interest. They can (also) be understood as generalisations of the classical spaces $A^s_{p,q} (\mathbb{R}^…
Limiting embeddings of Besov-type and Triebel-Lizorkin-type spaces on domains and an extension operator
Helena F. Goncalves, Dorothee D. Haroske, Leszek Skrzypczak
In this paper, we study limiting embeddings of Besov-type and Triebel-Lizorkin-type spaces, and $id_τ: F_{p_1,…
Traces of some weighted function spaces and related non-standard real interpolation of Besov spaces
Blanca F. Besoy, Dorothee D. Haroske, Hans Triebel
We study traces of weighted Triebel-Lizorkin spaces on hyperplanes , where the weight is of Muckenhoupt type. We concentrate on the…