Atomic decomposition for weighted Besov and Triebel-Lizorkin spaces

Mitsuo Izuki, Yoshihiro Sawano

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

Rychkov defined weighted Besov spaces and weighted Triebel-Lizorkin spaces coming with a weight in the class Aploc, which is even wider than the class Ap due to Muckenhoupt. In the present paper we are concerned with the atomic decomposition of these spaces. As an application, we obtain some key theorems in the theory of function spaces. Finally we conclude this paper with some helpful examples showing the difference between weighted spaces and unweighted spaces.

Original languageEnglish
Pages (from-to)103-126
Number of pages24
JournalMathematische Nachrichten
Volume285
Issue number1
DOIs
Publication statusPublished - Jan 2012

Keywords

  • Atom
  • Besov space
  • Decomposition of functions
  • Triebel-Lizorkin space
  • Weights

ASJC Scopus subject areas

  • Mathematics(all)

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