supported partly by NSF of China (No. 10571015);SRFDP of China (No. 20050027025);supported by the U.S. NSF (Grant DMS No. 0500853);supported partly by NSF of China (No. 10771054);supported by NSF of China (No, 10811120558)
Though the theory of one-parameter Triebel-Lizorkin and Besov spaces has been very well developed in the past decades, the multi-parameter counterpart of such a theory is still absent. The main purpose of this paper i...
supported by NSF of China (Grant No.10571015);RFDP of China (Grant No.20050027025);NSF of Zhejiang Province (Grant No.Y7080325)
Let A be an expansive dilation. We define weakly strongly singular integral kernels and study the action of the operators induced by these kernels on anisotropic Hardy spaces associated with A.
supported by National Natural Science Foundation of China (Grant No.10701010) ;the Scientific Research Foundation for the Returned Overseas Chinese Scholars,State Education Ministry;supported by National Natural Science Foundation of China (Grant No.10571015) ;Research Fund for the Doctoral Program of Higher Education of China (Grant No.20050027025)
In this paper, weighted Lp estimates and sharp weighted endpoint estimates for the mul-tilinear commutators of the Littlewood-Paley operators are established.