Wavelet characterization of local Muckenhoupt weighted Lebesgue spaces with variable exponent

被引：4

作者：

Izuki, Mitsuo ^{[1
]}

Nogayama, Toru ^{[2
]}

Noi, Takahiro ^{[2
]}

Sawano, Yoshihiro ^{[3
,4
]}

机构：

[1] Tokyo City Univ, Fac Liberal Arts & Sci, Setagaya Ku, 1-28-1 Tamadutsumi, Tokyo 1588557, Japan

[2] Tokyo Metropolitan Univ, Dept Math Sci, Hachioji, Tokyo 1920397, Japan

[3] Chuo Univ, Grad Sch Sci & Engn, Bunkyo Ku, 1-13-27 Kasuga, Tokyo, Japan

[4] Peoples Friendship Univ Russia, Moscow, Russia

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2020年 / 198卷

基金：

日本学术振兴会;

关键词：

MAXIMAL OPERATOR; MODULAR INEQUALITIES;

D O I：

10.1016/j.na.2020.111930

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Our aim in this paper is to characterize local Muckenhoupt weighted Lebesgue spaces with variable exponent by compactly supported smooth wavelets. We also investigate necessary and sufficient conditions for the corresponding modular inequalities to hold. One big achievement is that the weights with exponential growth can be handled in the framework of variable exponents. © 2020

引用

页数：14

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