Rough Marcinkiewicz integrals with mixed homogeneity on product spaces

Authors
Liu, Feng Wu, Huo Xiong
Citation
Liu, Feng et Wu, Huo Xiong, Rough Marcinkiewicz integrals with mixed homogeneity on product spaces, Acta mathematica Sinica. English series (Print) , 29(7), 2013, pp. 1231-1244
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
29
Issue
7
Year of publication
2013
Pages
1231 - 1244
Database
ACNP
SICI code
Abstract
In this paper, the parabolic Marcinkiewicz integral operators on the product spaces .m . .n(m, n . 2) are studied. The L p-boundedness for such operators are established under rather weak size conditions of the kernels, which essentially improve or extend certain previous results.