Boundedness of Marcinkiewicz Integrals and Their Commutators on Generalized Weighted Morrey Spaces

We will study the boundedness of Marcinkiewicz integrals with rough kernel on the generalized weighted Morrey spaces. We will also prove that the commutator operators formed by a BMORn function and Marcinkiewicz integrals are also bounded on the generalized weighted Morrey spaces.

Bibliographic Details
Main Authors: Runqing Cui, Zhang Li
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2015/450145