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WEIGHTED BOUNDEDNESS OF MULTILINEAR OPERATOR ASSOCIATED TO SINGULAR INTEGRAL OPERATOR SATISFYING A VARIANT OF HÖRMANDER’S CONDITION
Author(s) : Qiaozhen Zhao and Junfeng Wang
Pages : [15] - [41]
Received : March 2, 2015
Pages : [15] - [41]
Received : March 2, 2015
Abstract
In this paper, we establish the weighted sharp maximal function inequalities for the multilinear operator associated to the singular integral operator satisfying a variant of Hörmander’s condition. As an application, we obtain the boundedness of the operator on weighted Lebesgue and Morrey spaces.
Keywords
multilinear operator, singular integral operator, sharp maximal function, weighted BMO, weighted Lipschitz function.