Embeddings of doubling weighted Besov spaces

• Autorzy: Dorothee D. Haroske , Philipp Skandera
• Języki publikacji: EN

Abstrakty

EN

We study continuous embeddings of Besov spaces of type $B_{p,q}^s(ℝⁿ,w)$, where s ∈ ℝ, 0 < p < ∞, 0 < q ≤ ∞, and the weight w is doubling. This approach generalises recent results about embeddings of Muckenhoupt weighted Besov spaces. Our main argument relies on appropriate atomic decomposition techniques of such weighted spaces; here we benefit from earlier results by Bownik. In addition, we discuss some other related weight classes briefly and compare corresponding results.

Kategorie tematyczne

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2014
• Tom: 102
• Numer: 1
• Strony: 105-119

Daty

wydano

2014

Twórcy

autor

Dorothee D. Haroske

• Institute of Mathematics, Friedrich-Schiller-University Jena, D-07737 Jena, Germany

autor

Philipp Skandera

• Institute of Mathematics, Friedrich-Schiller-University Jena, D-07737 Jena, Germany

Identyfikatory

DOI

10.4064/bc102-0-7