Some boundedness results are established in the setting of homogeneous Morrey-Herz spaces for a class of higher order commutators T^mb,l and M^mb,l generated by fractional integral operators Tl and maximal fractional ...Some boundedness results are established in the setting of homogeneous Morrey-Herz spaces for a class of higher order commutators T^mb,l and M^mb,l generated by fractional integral operators Tl and maximal fractional operators Ml with function b（x） in BMO（R^n）, respectively.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the National Natural Science Foundation of China(1057101410571158).
文摘Some boundedness results are established in the setting of homogeneous Morrey-Herz spaces for a class of higher order commutators T^mb,l and M^mb,l generated by fractional integral operators Tl and maximal fractional operators Ml with function b（x） in BMO（R^n）, respectively.
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.
