Sharp weighted logarithmic bound for maximal operators

被引：0

作者：

Adam Osȩkowski

机构：

[1] University of Warsaw,Department of Mathematics, Informatics and Mechanics

来源：

Archiv der Mathematik | 2016年 / 107卷

关键词：

Maximal; Dyadic; Bellman function; Best constants; Primary 42B25; Secondary 46E30; 60G42;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The paper contains the study of sharp weighted logarithmic estimates for maximal operators on probability spaces equipped with a tree-like structure. These inequalities can be regarded as LlogL versions of the classical estimates of Fefferman and Stein. The proof exploits the existence of a certain special function, enjoying appropriate majorization and concavity conditions.

引用

页码：635 / 644

页数：9

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