Sharp inequalities for geometric maximal operators associated with general measuresНеулучшаемые неравенства для геометрических максимальных операторов, связанных с общими мерами

被引：0
|
作者：
Adam Osękowski
机构：
[1] University of Warsaw,Department of Mathematics, Informatics and Mechanics
来源：
Analysis Mathematica | 2013年 / 39卷 / 4期
关键词：
Lebesgue Measure; General Measure; Good Constant; Weight Norm Inequality; Sharp Inequality;
D O I：
10.1007/s10476-013-0404-8
中图分类号：
学科分类号：
摘要：
We determine the best constants in the weak-type (p, p) and Lp estimates for geometric maximal operator on (ℝ, µ). It is also shown that in higher dimensions such inequalities fail to hold.
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页码：287 / 296
页数：9
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