Journal of Mathematical Research with Applications

L^p-Bounds for a Marcinkiewicz Integral on Product Domains

Received:April 26, 1999

Key Words: Marciukiewicz integral rough kernel product domains square functions.

Fund Project:Supported by NNSFC (19631080) and NSFZJ (RC97017).

Author Name	Affiliation
YING Yi-ming	Dept. of Math. Zhejiang Univ.（Xixi Campus） Hangzhou China
JIN Yong-yang	Dept. of Math. Zhejiang Engineering University China

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Abstract:

In this paper, we proved the Lp-boundedness of the Marcinkiewicz integral μ_Ω(f) on product domains Rⁿ×R^m,where Ω∈L（log⁺L）^2β（S^n-1×S^m-1）( β > 1).

Citation:

DOI:10.3770/j.issn:1000-341X.2002.03.001

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