Martingale Transforms and the Hardy-Littlewood-Sobolev Inequality for Semigroups

被引：0
|
作者：
Daesung Kim
机构：
[1] Purdue University,Department of Mathematics
来源：
Potential Analysis | 2016年 / 45卷
关键词：
Martingale transform; The Hardy-Littlewood-Paley inequality; Fractional integrals; The Littlewood-Paley ; -functions; General Markovian semigroups; 26D10; 42B25; 47G30; 47D07; 60G46; 60H30;
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学科分类号：
摘要：
We give a representation of the fractional integral for symmetric Markovian semigroups as the projection of martingale transforms and prove the Hardy-Littlewood-Sobolev (HLS) inequality based on this representation. The proof rests on a new inequality for the fractional Littlewood-Paley g–function.
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页码：795 / 807
页数：12
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