变量核Marcinkiewicz积分在变指标Herz-Morrey空间上的加权估计

Journal of Jilin University Science Edition ›› 2019, Vol. 57 ›› Issue (3): 459-464.

Weighted Estimates of Marcinkiewicz Integral withVariable Kernel on Variable Exponent HerzMorrey Spaces

TAO Shuangping, SHI Jinli

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Received:2018-12-17 Online:2019-05-26 Published:2019-05-20
Contact: TAO Shuangping E-mail:taosp@nwnu.edu.cn

Abstract

Abstract: By using hierarchical decomposition of function and the weighted inequalities, and by means of the weight boundedness on variable exponent Lebesgue spaces, we proved the boundedness of Marcinkiewicz integral operators with variable kernel on the weighted variable exponent HerzMorrey spaces.

Key words: variable kernel, Marcinkiewicz integral, variable exponent, HerzMorrey space, A_p(·) weight

CLC Number:

O174.2

TAO Shuangping, SHI Jinli. Weighted Estimates of Marcinkiewicz Integral withVariable Kernel on Variable Exponent HerzMorrey Spaces[J].Journal of Jilin University Science Edition, 2019, 57(3): 459-464.

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Weighted Estimates of Marcinkiewicz Integral withVariable Kernel on Variable Exponent HerzMorrey Spaces

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