Weighted product Hardy space associated with operators

作     者：Qingquan DENG Djalal Eddine GUEDJIBA Qingquan DENG;Djalal Eddine GUEDJIBA

作者机构：School of Mathematics and StatisticsHubei Province Key Laboratory of Mathematical PhysicsCentral China Normal UniversityWuhan 430079China Department of MathematicsUniversity of Batna 253 Route de ConstantineFesdisBatna 05078Algeria 

出 版 物：《Frontiers of Mathematics in China》 (中国高等学校学术文摘·数学（英文）)

年 卷 期：2020年第15卷第4期

页      面：649-683页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Qingquan Deng was supported by the National Natural Science Foundation of China(Grant No.11971191) the Fundamental Research Funds for the Central Universities(CCNU18QN030 and CCNU-18CXTD04) partially supported by the National Natural Science Foundation of China(Grant Nos.11661061,11671163) 

主　　题：Produce Hardy space Ap weights Davies-Gaffney estimates 

摘      要：Assuming that the operators L1,L2 are self-adjoint and e-tLi(i=1,2)satisfy the generalized Davies-Gaffney estimates,we shall prove that the weighted Hardy space H1L1,L2,w(Rn1×Rn2)associated to operatorsL1,L2 on product domain,which is defined in terms of area function,has an atomic decomposition for some weight w.