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;

D O I：

暂无

中图分类号：

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.

引用

页码：795 / 807

页数：12

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