Boundedness for a Class of Generalized Commutators of Fractional Hardy Operators with a Rough Kernel

The authors consider the generalized commutator of fractional Hardy operator with a rough kernel as follows: where , , and with . The authors prove that is bounded on Herz type space and -Central Morrey space with , which is an open problem for .

Bibliographic Details
Main Authors: Xiao Yu, Shanzhen Lu
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/431692
Description
Summary:The authors consider the generalized commutator of fractional Hardy operator with a rough kernel as follows: where , , and with . The authors prove that is bounded on Herz type space and -Central Morrey space with , which is an open problem for .
ISSN:1085-3375
1687-0409