Wavelets and modular inequalities in variable Lp spaces

Mitsuo Izuki

doi:10.1515/GMJ.2008.281

Wavelets and modular inequalities in variable L^p spaces

Mitsuo Izuki

Research output: Contribution to journal › Article

12 Citations (Scopus)

Abstract

The aim of this paper is to characterize variable L^p spaces L^p(·)(Rⁿ) using wavelets with proper smoothness and decay. We obtain conditions for the wavelet characterizations of L^p(·)(Rⁿ) with respect to the norm estimates and modular inequalities.

Original language	English
Pages (from-to)	281-293
Number of pages	13
Journal	Georgian Mathematical Journal
Volume	15
Issue number	2
DOIs	https://doi.org/10.1515/GMJ.2008.281
Publication status	Published - 2008
Externally published	Yes

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Keywords

unconditional basis
variable L space
Wavelet

ASJC Scopus subject areas

Mathematics(all)

Cite this

Izuki, M. (2008). Wavelets and modular inequalities in variable L^p spaces. Georgian Mathematical Journal, 15(2), 281-293. https://doi.org/10.1515/GMJ.2008.281

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Access to Document

10.1515/GMJ.2008.281