Citation
Y. Ding et al., L-p-boundedness of Marcinkiewicz integrals with Hardy space function kernels, ACTA MATH S, 16(4), 2000, pp. 593-600
Citations number
8
Categorie Soggetti
Mathematics
Journal title
ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN journal
10009574
→ ACNP
Volume
16
Issue
4
Year of publication
2000
Pages
593 - 600
Database
ISI
SICI code
1000-9574(200010)16:4<593:LOMIWH>2.0.ZU;2-0
Abstract
We give the L-p-boundedness for a class of Marcinkiewicz integral operators
mu (Omega), mu (Omega)*,lambda and mu (Omega),s related to the Littlewood-
Paley g-function, g(lambda)*-function and the area integral S, respectively
. These operators have the kernel functions Omega is an element of H-1(Sn-1
), the Hardy space on Sn-1. The results in this paper substantially improve
and extend the known results.