带变量核的Marcinkiewicz积分交换子在变指标Herz-Hardy空间上的有界性

吉林大学学报(理学版) ›› 2019, Vol. 57 ›› Issue (04): 767-772.

带变量核的Marcinkiewicz积分交换子在变指标Herz-Hardy空间上的有界性

邵旭馗

陇东学院数学与统计学院, 甘肃庆阳 745000

收稿日期:2018-11-19 出版日期:2019-07-26 发布日期:2019-07-11
通讯作者: 邵旭馗 E-mail:shwangsp@126.com

Boundedness for Commutators of Marcinkiewicz Integrals with Variable Kernel on Herz-Hardy Spaces with Variable Exponents#br#

SHAO Xukui

School of Mathematics and Statistics, Longdong University, Qingyang 745000, Gansu Province, China

Received:2018-11-19 Online:2019-07-26 Published:2019-07-11
Contact: SHAO Xukui E-mail:shwangsp@126.com

摘要/Abstract

摘要： 借助Marcinkiewicz积分交换子在变指标Lebesgue空间上的有界性, 利用变指标Herz-Hardy空间上的原子分解理论, 给出带变量核的Marc
inkiewicz积分交换子μ^b_Ω在齐次和非齐次变指标Herz-Hardy空间上的有界性.

关键词: Marcinkiewicz积分交换子, 变指标HerzHardy空间, BMO(Rⁿ)空间, 变量核

Abstract: With the help of the boundedness of commutators of Marcinkiewicz integral on Lebesgue space with variable exponents and the theory of atomic decomposition on HerzHardy space with variable exponents, the boundedness of commutator of Marcinkie
wicz integral with variable kernels μ^b_Ω on homogeneous and nohomogeneous HerzHardy space with variable exponents were given.

Key words: commutator of Marcinkiewicz integral, HerzHardy spaces with variable exponent, BMO(Rⁿ) space, variable kernel

中图分类号:

O174.2

邵旭馗. 带变量核的Marcinkiewicz积分交换子在变指标Herz-Hardy空间上的有界性[J]. 吉林大学学报(理学版), 2019, 57(04): 767-772.

SHAO Xukui. Boundedness for Commutators of Marcinkiewicz Integrals with Variable Kernel on Herz-Hardy Spaces with Variable Exponents#br#[J]. Journal of Jilin University Science Edition, 2019, 57(04): 767-772.

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