The maximal operator on weighted variable Lebesgue spaces

被引：2

作者：

David Cruz-Uribe

Lars Diening

Peter Hästö

机构：

[1] Trinity College,Department of Mathematics

[2] (Ludwig-Maximilians-Universität München),Institute of Mathematics, LMU Munich

[3] University of Oulu,Department of Mathematical Sciences

来源：

Fractional Calculus and Applied Analysis | 2011年 / 14卷

关键词：

variable exponent Lebesgue spaces; Muckenhoupt weights; maximal operator; Primary 42B25; Secondary 42B35;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the boundedness of the maximal operator on the weighted variable exponent Lebesgue spaces Lωp(·) (Ω). For a given log-Hölder continuous exponent p with 1 < inf p ⩽ supp < ∞ we present a necessary and sufficient condition on the weight ω for the boundedness of M. This condition is a generalization of the classical Muckenhoupt condition.

引用

页码：361 / 374

页数：13

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