Boundedness on Hardy-Sobolev Spaces for Hypersingular Marcinkiewicz Integrals with Variable Kernels

The existence and boundedness on Sobolev spaces and Hardy-Sobolev spaces for the hypersingular Marcinkiewicz integrals with variable kernels are derived.

Bibliographic Details
Main Authors: Songyan Zhang, Xiao Yu, Xiangxing Tao
Format: Article
Language:English
Published: SpringerOpen 2008-12-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2008/835938