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2012•Journal of Jiangxi Normal UniversityRequires access

The Boundedness of the Maximal Multilinear Singular Integral Operator with Non-Smooth Kernel

Suzhen Mao

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Abstract

Using the pointwise estimates of sharp maximal function for the maximal singular integrals,the cotlar inequality for the maximal multilinear singular integral operator with non-smooth kernels is established and it is proved that the maximal operator is bounded from Lr(Rn) into Lp0(Rn).Some known results are extended.

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Using the pointwise estimates of sharp maximal function for the maximal singular integrals,the cotlar inequality for the maximal multilinear singular integral operator with non-smooth kernels is established and it is proved that the maximal operator is bounded from Lr(Rn) into Lp0(Rn).Some known results are extended.

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Available abstract

Using the pointwise estimates of sharp maximal function for the maximal singular integrals,the cotlar inequality for the maximal multilinear singular integral operator with non-smooth kernels is established and it is proved that the maximal operator is bounded from Lr(Rn) into Lp0(Rn).Some known results are extended.

Key concepts: Multilinear map, Mathematics, Pointwise, Maximal function, Singular integral, Singular integral operators, Maximal operator, Bounded function

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