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
收藏
页码：92 / 115
页数：24
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