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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:443

Article

Liu, Suying¹  Song, Liang² 

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

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

关键词: Weighted Hardy spaces;    Operators;    Weighted atoms;    Product spaces;   

DOI  :  10.1016/j.jmaa.2016.05.021

来源: Elsevier

【 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.

【 授权许可】

Free