5 papers · 1 filter
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…
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…
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…
Compact embeddings in Besov-type and Triebel-Lizorkin-type Spaces on bounded domains
Helena F. Gonçalves, Dorothee D. Haroske, Leszek Skrzypczak
We study embeddings of Besov-type and Triebel-Lizorkin-type spaces, and $id_τ: {F}_{p_1,q_1}^{s_1,τ_1}…