On rough Marcinkiewicz integrals along surfaces

Authors
Wu, Huo Xiong Xu, Jian Kai
Citation
Wu, Huo Xiong et Xu, Jian Kai, On rough Marcinkiewicz integrals along surfaces, Acta mathematica Sinica. English series (Print) , 26(4), 2010, pp. 717-730
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
26
Issue
4
Year of publication
2010
Pages
717 - 730
Database
ACNP
SICI code
Abstract
In this paper, the authors establish the L p-mapping properties of certain classes of Marcinkiewicz integral operators along surfaces with rough kernels. The results in this paper essentially extend as well as improve previously known results.