14 papers
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…
On compact subsets of Sobolev spaces on manifolds
Leszek Skrzypczak, Cyril Tintarev
It is common that a Sobolev space defined on has a non-compact embedding into an -space, but it has subspaces for which this embedding becomes compact. There ar…
Nuclear embeddings in weighted function spaces
Dorothee D. Haroske, Leszek Skrzypczak
We study nuclear embeddings for weighted spaces of Besov and Triebel-Lizorkin type where the weight belongs to some Muckenhoupt class and is essentially of polynomial type. Here we…