On Marcinkiewicz integrals associated to compound mappings with rough kernels

Authors
Liu, Feng Wu, Huo Xiong
Citation
Liu, Feng et Wu, Huo Xiong, On Marcinkiewicz integrals associated to compound mappings with rough kernels, Acta mathematica Sinica. English series (Print) , 30(7), 2014, pp. 1210-1230
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
30
Issue
7
Year of publication
2014
Pages
1210 - 1230
Database
ACNP
SICI code
Abstract
The L p bounds for the parametric Marcinkiewicz integrals associated to compound mappings, which contain many classical surfaces as model examples, are given, where the kernels of our operators are rather rough on the unit sphere as well as in the radial direction. These results substantially improve and extend some known results.