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
收藏
页码：361 / 374
页数：13
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