The Multilinear Strong Maximal Function

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The Multilinear Strong Maximal Function

A multivariable version of the strong maximal function is introduced and a sharp distributional estimate for this operator in the spirit of the Jessen, Marcinkiewicz, and Zygmund theorem is obtained. Conditions that characterize the boundedness of this multivariable operator on products of weighted Lebesgue spaces equipped with multiple weights are obtained. Results for other multi(sub)linear m...

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Sharp maximal function estimates for multilinear singular integrals

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a sharp maximal function estimate for vector-valued multilinear singular integral operator

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a sharp maximal function estimate for vector-valued multilinear singular integral operator

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ژورنال

عنوان ژورنال: Journal of Geometric Analysis

سال: 2010

ISSN: 1050-6926,1559-002X

DOI: 10.1007/s12220-010-9174-8