The atomic decomposition of weighted Hardy spaces associated to self-adjoint operators on product spaces

被引：3

作者：

Liu, Suying ^{[1
]}

Song, Liang ^{[2
]}

机构：

[1] Northwestern Polytech Univ, Sch Sci, Xian, Peoples R China

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 443卷 / 01期

关键词：

Weighted Hardy spaces; Operators; Weighted atoms; Product spaces; ELLIPTIC-OPERATORS; NORM INEQUALITIES; HP-THEORY; BMO; DUALITY; VERSION; BOUNDS;

D O I：

10.1016/j.jmaa.2016.05.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let L be a non-negative self-adjoint operator acting on L-2(R-n) satisfying a pointwise Gaussian estimate for its heat kernel. Let w be an A(p) weight on R-n x R-n, 1 < p < infinity. In this article we obtain a weighted q-atomic decomposition with q >= p for the weighted Hardy space H-L,w(1)(R-n x R-n) associated to L. (C) 2016 Elsevier Inc. All rights reserved.

引用

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页码：92 / 115

页数：24

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