Wavelet bases in the weighted Besov and Triebel-Lizorkin spaces with Ap loc-weights

Mitsuo Izuki, Yoshihiro Sawano

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

We obtain wavelet characterizations of Besov spaces and the Triebel-Lizorkin spaces associated with A loc-weights. These characterizations are used to show that our wavelet bases are also greedy.

Original languageEnglish
Pages (from-to)656-673
Number of pages18
JournalJournal of Approximation Theory
Volume161
Issue number2
DOIs
Publication statusPublished - Dec 2009
Externally publishedYes

Fingerprint

Triebel-Lizorkin Space
Wavelet Bases
Besov Spaces
Wavelets

Keywords

  • Besov space
  • Greedy basis
  • Triebel-Lizorkin space
  • Unconditional basis
  • Wavelet

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics
  • Mathematics(all)
  • Numerical Analysis

Cite this

Wavelet bases in the weighted Besov and Triebel-Lizorkin spaces with Ap loc-weights. / Izuki, Mitsuo; Sawano, Yoshihiro.

In: Journal of Approximation Theory, Vol. 161, No. 2, 12.2009, p. 656-673.

Research output: Contribution to journalArticle

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