JEDNOSTKA NAUKOWA KATEGORII A+

Embeddings of doubling weighted Besov spaces

Tom 102 / 2014

Dorothee D. Haroske, Philipp Skandera Banach Center Publications 102 (2014), 105-119 MSC: Primary 46E35. DOI: 10.4064/bc102-0-7

Streszczenie

We study continuous embeddings of Besov spaces of type $B_{p,q}^s(\mathbb{R}^n,w)$, where $s\in\mathbb{R}$, $0< p< \infty$, $0< q\leq\infty$, 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.

Autorzy

  • Dorothee D. HaroskeInstitute of Mathematics
    Friedrich-Schiller-University Jena
    D-07737 Jena, Germany
    e-mail
  • Philipp SkanderaInstitute of Mathematics
    Friedrich-Schiller-University Jena
    D-07737 Jena, Germany
    e-mail

Przeszukaj wydawnictwa IMPAN

Zbyt krótkie zapytanie. Wpisz co najmniej 4 znaki.

Przepisz kod z obrazka

Odśwież obrazek

Odśwież obrazek