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http://dx.doi.org/10.4134/BKMS.2008.45.1.001

WEIGHTED ENDPOINT INEQUALITIES FOR MULTILINEAR MARCINKIEWICZ INTEGRAL OPERATOR  

Wenxin, Yu (COLLEGNE OF MATHEMATICS CHANGSHA UNIVERSITY OF SOIENCE AND TECHNOLOGY)
Liu, Lanzhe (COLLEGNE OF MATHEMATICS CHANGSHA UNIVERSITY OF SOIENCE AND TECHNOLOGY)
Publication Information
Bulletin of the Korean Mathematical Society / v.45, no.1, 2008 , pp. 1-10 More about this Journal
Abstract
We prove a sharp inequality for some multilinear operator related to Marcinkiewicz integral operator. As application, we obtain the weighted norm inequality and L log L type estimate for the multilinear operator.
Keywords
multilinear Marcinkiewicz integral operator; sharp estimate; BMO;
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