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2010•Journal of Nanchang UniversityRequires access

A Note of Commutators of Singular Integral Operators with Rough Kernel

XI Shao-yuan

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Abstract

It is devoted to prove that if the kernel satisfies certain weak conditions and the commutator of the singular integral operator with rough kernel is a bounded operator on Lp,then b∈BMO.

About this research paper

What this paper is about

It is devoted to prove that if the kernel satisfies certain weak conditions and the commutator of the singular integral operator with rough kernel is a bounded operator on Lp,then b∈BMO.

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Available abstract

It is devoted to prove that if the kernel satisfies certain weak conditions and the commutator of the singular integral operator with rough kernel is a bounded operator on Lp,then b∈BMO.

Key concepts: Singular integral operators, Commutator, Mathematics, Kernel (algebra), Singular integral, Operator (biology), Bounded function, Pure mathematics

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