2010Bulletin of the Polish Academy of Sciences MathematicsOpen access

Weighted Estimates for the Maximal Operator of a Multilinear Singular Integral

Xi Chen

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Abstract

An improved multiple Cotlar inequality is obtained. From this result, weighted} norm inequalities for the maximal operator of a multilinear singular integral including weak and strong estimates are deduced under the multiple weights constructed recently.

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An improved multiple Cotlar inequality is obtained. From this result, weighted} norm inequalities for the maximal operator of a multilinear singular integral including weak and strong estimates are deduced under the multiple weights constructed recently.

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Available abstract

An improved multiple Cotlar inequality is obtained. From this result, weighted} norm inequalities for the maximal operator of a multilinear singular integral including weak and strong estimates are deduced under the multiple weights constructed recently.

Key concepts: Multilinear map, Singular integral operators, Mathematics, Singular integral, Maximal operator, Operator (biology), Mathematical analysis, Pure mathematics

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