Marcinkiewicz积分交换子在变指标Herz Triebel-Lizorkin空间的有界性

doi:10.6040/j.issn.1671-9352.0.2021.656

摘要/Abstract

摘要： 通过两个算子族和Peetre极大函数及Hardy-Littlewood极大算子在向量值函数空间上的有界性建立了变指标Herz Triebel-Lizorkin空间范数的等价刻画,并由此得到Marcinkiewicz积分交换子在变指标Herz Triebel-Lizorkin空间上的有界性结果。

关键词: 交换子, Marcinkiewicz积分算子, 变指标Herz Triebel-Lizorkin空间

Abstract: An equivalent characterization of the norm for Herz Triebel-Lizorkin spaces with variable exponent is established by means of two operator families, Peetre maximal functions and the boundedness of Hardy-Littlewood maximal operators on vector-valued function spaces. Based on the result, the boundedness of commutators for the Marcinkiewicz integral operators on Herz Triebel-Lizorkin spaces with variable exponent is proved.

Key words: commutators, Marcinkiewicz integral operators, Herz Triebel-Lizorkin spaces with variable exponent

中图分类号:

O174.2

韦营营,张婧. Marcinkiewicz积分交换子在变指标Herz Triebel-Lizorkin空间的有界性[J]. 《山东大学学报(理学版)》, 2022, 57(12): 55-63.

WEI Ying-ying, ZHANG Jing. Boundedness of commutators for the Marcinkiewicz integral operators on Herz Triebel-Lizorkin spaces with variable exponent[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2022, 57(12): 55-63.

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