参数型Marcinkiewicz积分交换子在变指数Herz-Morrey空间的加权有界性

doi:10.6040/j.issn.1671-9352.0.2020.195

摘要/Abstract

摘要： 建立了参数型Marcinkiewicz积分在一类变指标Lebesgue空间上的加权有界性,进一步运用函数分层分解和权不等式等工具,得到了参数型Marcinkiewicz积分与有界平均振荡函数(function of bounded mean oscillation, BMO)b生成的高阶交换子在加权变指数Herz空间与加权变指数Herz-Morrey空间上的有界性。

关键词: 参数型Marcinkiewicz积分, 交换子, 加权变指数Herz 空间, 加权变指数Herz-Morrey空间

Abstract: The weighted boundedness of parameterized Marcinkiewicz integral on a class of generalized Lebesgue spaces with variable exponent is established. Furthermore, by using hierarchical decomposition of functions and the weighted inequalities, the boundedness of the higher order commutators generated by parameterized Marcinkiewicz integral and function of bounded mean oscillation(BMO)b on weighted Herz spaces and weighted Herz-Morrey spaces with variable exponent are obtained.

Key words: parameterized Marcinkiewicz integral, commutator, weighted variable exponent Herz space, weighted variable exponent Herz-Morrey space

中图分类号:

O174.22

辛银萍. 参数型Marcinkiewicz积分交换子在变指数Herz-Morrey空间的加权有界性[J]. 《山东大学学报(理学版)》, 2021, 56(4): 66-75.

XIN Yin-ping. Boundedness for commutators of parameterized Marcinkiewicz integral on weighted Herz-Morrey spaces with variable exponent[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2021, 56(4): 66-75.

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