Weighted norm inequalities for Schrodinger type operators

被引：59

作者：

Tang, Lin ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China

来源：

FORUM MATHEMATICUM | 2015年 / 27卷 / 04期

关键词：

Weight function; Schrodinger operator; COMMUTATORS;

D O I：

10.1515/forum-2013-0070

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let L = -Delta + V be a Schrodinger operator, where Delta is the Laplacian operator on R-n, while the nonnegative potential V belongs to the reverse Holder class. In this paper, we establish the weighted norm inequalities for some Schrodinger type operators, which include Riesz transforms and fractional integrals and their commutators. These results generalize substantially some well-known results.

引用

页码：2491 / 2532

页数：42

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