16 papers · 1 filter
Compact embeddings of generalised Morrey smoothness spaces on bounded domains
Dorothee D. Haroske, Susana D. Moura, Leszek Skrzypczak
We study embeddings within different scales of generalised smoothness Morrey spaces defined on bounded smooth domains, i.e., in , $\mathcal{E}^s_{φ,p,q}(Ω…
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…
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,…
Wavelet decomposition and embeddings of generalised Besov-Morrey spaces
Dorothee D. Haroske, Susana D. Moura, Leszek Skrzypczak
We study embeddings between generalised Besov-Morrey spaces. Both sufficient and necessary conditions for the embeddings are proved. Embeddings of the Besov-Morrey spaces into the…