In this paper we mainly give some characterizations for the boundedness of the weight Hardy operator, maximal operator, potential operator and singular integral operator on the vanishing generalized weak Morrey spaces...In this paper we mainly give some characterizations for the boundedness of the weight Hardy operator, maximal operator, potential operator and singular integral operator on the vanishing generalized weak Morrey spaces VWLρП,φ（Ω） with bounded setΩ .展开更多
Let （H,d,μ） be a space of homogeneous type in the sense of Coifman and Weiss. In this paper, we consider the behavior on Lp^p1 （X） x ... x LP^m（X） for the m-linear singular integral operators with nonsmooth ker...Let （H,d,μ） be a space of homogeneous type in the sense of Coifman and Weiss. In this paper, we consider the behavior on Lp^p1 （X） x ... x LP^m（X） for the m-linear singular integral operators with nonsmooth kernels which were first introduced by Duong, Grafakos and Yan.展开更多
基金Supported by the Natural Science Foundation of Ningxia(Grant No.NZ15055)Institution of Higher Education Scientific Research Project in Ningxia(Grant No.NGY2017011)the National Natural Science Foundation of China(Grant Nos.11261041,11361044)
文摘In this paper we mainly give some characterizations for the boundedness of the weight Hardy operator, maximal operator, potential operator and singular integral operator on the vanishing generalized weak Morrey spaces VWLρП,φ（Ω） with bounded setΩ .
基金Acknowledgements The authors would like to thank Professor Lixin Yah for some valuable suggestion. The first author was supported by the National Natural Science Foundation of China （Grant No. 10971228）, and the second author was supported by the National Natural Science Foundation of China （Grant No. 11071200）.
文摘Let （H,d,μ） be a space of homogeneous type in the sense of Coifman and Weiss. In this paper, we consider the behavior on Lp^p1 （X） x ... x LP^m（X） for the m-linear singular integral operators with nonsmooth kernels which were first introduced by Duong, Grafakos and Yan.
