%0 Journal Article
%T 单边奇异积分与Lipschitz函数生成的Cohen型交换子的变差不等式
Variation Inequalities for Cohen Type Commutator of One-Sided Singular Integral with Lipschitz Function
%A 靳茄欣
%A 侯宪明
%J Pure Mathematics
%P 1-13
%@ 2160-7605
%D 2022
%I Hans Publishing
%R 10.12677/PM.2022.121001
%X
本文引入了单边奇异积分与Lipschitz函数生成的Cohen型交换子的变差算子。利用单边权的外推法,建立了上述算子从加权单边Triebel-Lizorkin空间到加权Lebesgue空间的有界性。
In this paper, we introduce ρ-variation operator of Cohen type commutator of one-sided singular integral. By the extrapolation of one-sided weights, we establish the boundedness of the above operator from weighted Lebesgue spaces to weighed one-sided Triebel-Lizorkin spaces.
%K ρ-变差,Cohen型交换子,单边权,加权单边Triebel-Lizorkin空间
ρ-Variation
%K Cohen Type Commutator
%K One-Sided Weights
%K Weighed One-Sided Triebel-Lizorkin Spaces
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=47797