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
摘要: 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。
Abstract: 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.
文章引用：靳茄欣, 侯宪明. 单边奇异积分与Lipschitz函数生成的Cohen型交换子的变差不等式[J]. 理论数学, 2022, 12(1): 1-13. https://doi.org/10.12677/PM.2022.121001

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