Boundedness of Commutators of High-Dimensional Hausdorff Operators

We prove the boundedness of commutators of high-dimensional Hausdorff operators 𝐻Φ,𝑏 on Lebesgue space with central BMO function or Lipschitz function. Furthermore, the boundedness on Herz spaces and Morrey-Herz spaces is also obtained.

Bibliographic Details
Main Authors: Guilian Gao, Houyu Jia
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2012/541205