AN ATOMIC DECOMPOSITION FOR HARDY SPACES ASSOCIATED TO SCHRODINGER OPERATORS

被引：9

作者：

Song, Liang ^{[2
]}

Tan, Chaoqiang ^{[1
]}

Yan, Lixin ^{[2
]}

机构：

[1] Shantou Univ, Dept Math, Shantou 515063, Guangdong, Peoples R China

[2] Sun Yat Sen Zhongshan Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2011年 / 91卷 / 01期

关键词：

Hardy space; Schrodinger operator; atom; nontangential maximal function; product spaces; HP; BMO; DUALITY; DOMAINS; VERSION; BOUNDS;

D O I：

10.1017/S1446788711001376

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 where V is a nonnegative function in the space L-loc(1) (R-n) of locally integrable functions on R-n. In this paper we provide an atomic decomposition for the Hardy space H-L(1)(R-n) associated to L in terms of the maximal function characterization. We then adapt our argument to give an atomic decomposition for the Hardy space H-L(1) (R-n X R-n) on product domains.

引用

页码：125 / 144

页数：20

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