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Boundedness of Higher Order Commutators with Rough Kernels on the Weighted Herz-Morrey Spaces

Xinxia Wang

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Abstract

On the weighted Herz-Morrey spaces the boundedness is established for the higher order com-mutators Mb,m,Ω and Tb,m form the Hardy-Littlewood maximal operators with rough kernel MΩ ,sublinear operators with rough kernel T and function b(x) in BMO(Rn).

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What this paper is about

On the weighted Herz-Morrey spaces the boundedness is established for the higher order com-mutators Mb,m,Ω and Tb,m form the Hardy-Littlewood maximal operators with rough kernel MΩ ,sublinear operators with rough kernel T and function b(x) in BMO(Rn).

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Available abstract

On the weighted Herz-Morrey spaces the boundedness is established for the higher order com-mutators Mb,m,Ω and Tb,m form the Hardy-Littlewood maximal operators with rough kernel MΩ ,sublinear operators with rough kernel T and function b(x) in BMO(Rn).

Key concepts: Mathematics, Sublinear function, Kernel (algebra), Order (exchange), Pure mathematics, Commutator, Function (biology), Mathematical analysis

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