L p-Boundedness of Marcinkiewicz Integrals with Hardy Space Function Kernels

Authors
Ding, Yong Fan, Dashan Pan, Yibiao
Citation
Ding, Yong et al., L p-Boundedness of Marcinkiewicz Integrals with Hardy Space Function Kernels, Acta mathematica Sinica. English series (Print) , 16(4), 2000, pp. 593-600
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
16
Issue
4
Year of publication
2000
Pages
593 - 600
Database
ACNP
SICI code
Abstract
We give the L p-boundedness for a class of Marcinkiewicz integral operators ..,...,. and ..,s related to the Littlewood-Paley g-function, g..-function and the area integral S, respectively. These operators have the kernel functions ..H 1 (S n.1), the Hardy space on S n.1. These results in this paper substantially improve and extend the known results.