Embeddings of Besov-Morrey spaces on bounded domains

• Autorzy: Dorothee D. Haroske , Leszek Skrzypczak
• Języki publikacji: EN

Abstrakty

EN

We study embeddings of spaces of Besov-Morrey type, $id_{Ω}: 𝓝^{s₁}_{p₁,u₁,q₁}(Ω) ↪ 𝓝^{s₂}_{p₂,u₂,q₂}(Ω)$, where $Ω ⊂ ℝ^{d}$ is a bounded domain, and obtain necessary and sufficient conditions for the continuity and compactness of $id_{Ω}$. This continues our earlier studies relating to the case of $ℝ^{d}$. Moreover, we also characterise embeddings into the scale of $L_{p}$ spaces or into the space of bounded continuous functions.

Kategorie tematyczne

• 46E35: Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2013
• Tom: 218
• Numer: 2
• Strony: 119-144

Daty

wydano

2013

Twórcy

autor

Dorothee D. Haroske

• Mathematical Institute, Friedrich-Schiller-University Jena, D-07737 Jena, Germany

autor

Leszek Skrzypczak

• Faculty of Mathematics & Computer Science, Adam Mickiewicz University, Umultowska 87, 61-614 Poznań, Poland

Identyfikatory

DOI

10.4064/sm218-2-2