非齐次变指标 Herz-Morrey-Hardy 空间上的变量核 Marcinkiewicz 积分及其交换子

Abstract

Abstract:

By the property about the function $\Omega(x,z)$, the boundedness of parameterized Marcinkiewicz integral operators with variable kernels $\mu^{\theta}_{\Omega}$ and their commutator $\mu^{\theta}_{\Omega,b}$ generated by $ \mathrm{BMO}(\mathbb{R}^{n})$ functions $b$ are established on the nonhomogeneous variable exponent Herz-Morrey-Hardy space, which extends results that have been achieved in previous research.

Key words: Marcinkiewicz integral, commutators, variable kernel, nonhomogeneous variable exponent Herz-Morrey-Hardy space

CLC Number:

O174.2

Shao Xukui, Wang Suping, Tao Shuangping. Variable Kernel Marcinkiewicz Integral and its Commutator on the Nonhomogeneous Variable Exponent Herz-Morrey-Hardy Space[J].Acta mathematica scientia,Series A, 2025, 45(3): 653-664.

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Variable Kernel Marcinkiewicz Integral and its Commutator on the Nonhomogeneous Variable Exponent Herz-Morrey-Hardy Space

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