Wavelet bases in the weighted Besov and Triebel-Lizorkin spaces with Aploc-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 Aloc-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 1 2009

Keywords

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

ASJC Scopus subject areas

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

Fingerprint Dive into the research topics of 'Wavelet bases in the weighted Besov and Triebel-Lizorkin spaces with A<sub>p</sub><sup>loc</sup>-weights'. Together they form a unique fingerprint.

  • Cite this