Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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A SHARP ENDPOINT ESTIMATE FOR MULTILINEAR MARCINKIEWICZ INTEGRAL OPERATOR

LIU LANZHE

pp. 107-117

Abstract

We establish a sharp estimate for multilinear Marcinkiewicz integral operator. As applications, we obtain the weighted norm inequalities and $L\log L$ type estimate for the multilinear operator.