%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