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

Journal of Jilin University Science Edition ›› 2019, Vol. 57 ›› Issue (04): 767-772.

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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

Abstract

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

CLC Number:

O174.2

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

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