Lp (?m × ?n) boundedness for the Marcinkiewicz integral on product spaces期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

L^p (?^m × ?ⁿ) boundedness for the Marcinkiewicz integral on product spaces

Authors:	Guoen Hu Shanzhen Lu Dunyan Yan

Affiliation:	(1) Department of Applied Mathematics, University of Information Engineering, 450002 Zhengzhou, China;(2) Department of Mathematics, Beijing Normal University, 100875 Beijing, China;(3) Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, 100080 Beijing, China

Abstract:	L^p(R^m × Rⁿ) boundedness is considered for the multiple Marcinkiewicz integral. Some size conditions implying the L^p(R^m × Rⁿ) boundedness of the multiple Marcinkiewicz integral for some fixed 1 > p > ∞ are obtained.

Keywords:	multiple Marcinkiewicz integral Fourier transform estimate Littlewood-Paley theory
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