The higher order Riesz transform and BMO type space associated to Schrodinger operators

被引：6

作者：

Dong, Jianfeng ^{[1
]}

Liu, Yu ^{[2
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Univ Sci & Technol Beijing, Dept Math & Mech, Beijing 100083, Peoples R China

来源：

MATHEMATISCHE NACHRICHTEN | 2012年 / 285卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Hardy space; BMO space; reverse Holder class; Schrodinger operator; MSC (2010) 42B30; 42B20;

D O I：

10.1002/mana.201000067

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let L = -Delta + V be a Schrodinger operator on R-n (n >= 3), where V not equivalent to 0 is a nonnegative potential belonging to certain reverse Holder class B-s for s >= n/2. In this article, we prove the boundedness of some integral operators related to L, such as L-1 del(2), L-1V and L-1 (-Delta) on the space BMOL (R-n). (C) 2012 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：486 / 496

页数：11

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