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- Title
L[sup p] -Boundedness of Marcinkiewicz Integrals with Hardy Space Function Kernels.
- Authors
Ding, Yong; Fan, Dashan; Pan, Yibiao
- Abstract
Abstract We give the L[sup p]-boundedness for a class of Marcinkiewicz integral operators mu[sub OMEGA, mu[sup *, sub OMEGA], lambda and mu[sub OMEGA, S] related to the Littlewood Paley g-function, g[sup *, sub lambda]-function and the area integral S, respectively. These operators have the kernel functions OMEGA is an element of H[sup 1](S[sup n-1], the Hardy space on S[sup n-1]. The results in this paper substantially improve and extend the known results. Keywords Marcinkiewicz integral, g-function, g[sup *, sub lambda]-function, Area integral, II[sup 1] space, Rough kernel
- Subjects
INTEGRAL operators; KERNEL functions; INTEGRAL functions; MATHEMATICAL functions
- Publication
Acta Mathematica Sinica, 2000, Vol 16, Issue 4, p593
- ISSN
1439-8516
- Publication type
Article
- DOI
10.1007/s101140000015