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 p...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.展开更多
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).
文摘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.
