Several Operators On Weighted Morrey Type Spaces

In this dissertation, we shall study the boundness of several operators on the weighted Morrey type spaces. The main results as follows.In section 1, the boundedness of the commutators generated by generalized Hausdorff operator and Lipschitz functions H?,bf?x?=???[??t?/t[b?x?-b?h?t?x?]f?h?t?x?dt is obtained on weighted Lebesgue spaces and weighted Morrey-Herz spaces.In section 2, the boundedness of the commutators generated by a class of sin-gular integral operators with oscillating kernels and BMO functions T_bf?x?=???ei|x-y|n?b?x?-b?y??dy is proved on the weighted Morrey-Herz spaces.In section 3, the generalized weighted central Morrey spaces B^p,??Rⁿ,?? are defined. It is proved that subliner operators with rough kernels are bounded from B^p,?1?Rⁿ,?? to B^p,?2?Rⁿ,??. Furthermore, It is proved that fractional subliner operators with rough kernels are bounded from B^p,?1?Rⁿ,?? to Bq,?2?Rⁿ,??...