Atomic decomposition for weighted Besov and Triebel-Lizorkin spaces

Mitsuo Izuki, Yoshihiro Sawano

Research output: Contribution to journalArticle

9 Citations (Scopus)


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
Issue number1
Publication statusPublished - Jan 1 2012


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

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Atomic decomposition for weighted Besov and Triebel-Lizorkin spaces'. Together they form a unique fingerprint.

  • Cite this