分数次极大奇异积分交换子的点态估计及其应用

Abstract

Abstract:

In this paper, we introduce a class of fractional maximal singular integral commutators related to variable Lipschitz functions, which is a generalization of $BMO$ functions and classical Lipschitz functions. Then we obtain a pointwise estimate of this commutator. As an application, we obtain the boundedness of this commutator in variable Lebesgue spaces. The above results are also new even in the constant exponent context.

Key words: Lipschitz function, Fractional singular integral, Commutator

CLC Number:

O174.1

Yang Xuechun,Li Baode. Pointwise Estimate of Fractional Maximal Singular Integral Commutators and its Application[J].Acta mathematica scientia,Series A, 2023, 43(4): 1024-1036.

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References 18

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Pointwise Estimate of Fractional Maximal Singular Integral Commutators and its Application

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