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

Mitsuo Izuki; Yoshihiro Sawano

doi:10.1016/j.jat.2008.12.003

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

Mitsuo Izuki, Yoshihiro Sawano

Graduate School of Education

Research output: Contribution to journal › Article

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 language	English
Pages (from-to)	656-673
Number of pages	18
Journal	Journal of Approximation Theory
Volume	161
Issue number	2
DOIs	https://doi.org/10.1016/j.jat.2008.12.003
Publication status	Published - 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

Access to Document

10.1016/j.jat.2008.12.003

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Izuki, M., & Sawano, Y. (2009). Wavelet bases in the weighted Besov and Triebel-Lizorkin spaces with A_p^loc-weights. Journal of Approximation Theory, 161(2), 656-673. https://doi.org/10.1016/j.jat.2008.12.003

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