On a two-weighted estimation of maximal operator in the Lebesgue space with variable exponent

被引：0
|
作者：
Farman I. Mamedov
Yusuf Zeren
机构：
[1] Dicle University,Department of Mathematics, Education Faculty
[2] Institute Mathematics and Mechanics National Academy of Science,Department of Mathematics
[3] Yildiz Technical University,undefined
来源：
Annali di Matematica Pura ed Applicata | 2011年 / 190卷
关键词：
Maximal functions; Weighted Lebesgue spaces; Variable exponent; Two-weight inequality; 42B25; 46E30;
D O I：
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中图分类号：
学科分类号：
摘要：
We study two-weight inequalities with general-type weights for Hardy-Littlewood maximal operator in the Lebesgue spaces with variable exponent. The exponent function satisfies log-Holder-type local continuity condition and decay condition in infinity. The right-hand side weight to the certain power satisfies the doubling condition. Sawyer-type two-weight criteria for fractional maximal functions are derived.
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页码：263 / 275
页数：12
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