单边Herz Triebel-Lizorkin空间上交换子的有界性  

Boundedness of commutators on one-sided Herz Triebel-Lizorkin spaces

作　　者：程鑫 张婧 CHENG Xin;ZHANG Jing(School of Mathematics and Statistics,Ankang University,Ankang 725000,China;Institute of Applied Mathematics,Yili Normal University,Yining 835000,China)

机构地区：[1]安康学院数学与统计学院,陕西安康725000 [2]伊犁师范大学应用数学研究所,新疆伊宁835000

出　　处：《纯粹数学与应用数学》2024年第3期475-484,共10页Pure and Applied Mathematics

基　　金：新疆维吾尔自治区自然科学基金(2021D01C463).

摘　　要：本文引进了一类单边Herz Triebel-Lizorkin空间.采用分解法,证明了单边次线性算子在Herz空间上的有界性.进而利用单边极大算子控制法,推证了单边奇异积分算子与Lipschitz函数生成的交换子和单边分数次积分从Herz空间到Herz Triebel-Lizorkin空间上的有界性.The authors introduced a class of spaces,called one-sided Herz Triebel-Lizorkin spaces.By means of decomposition method,they proved the boundedness of one-sided sublinear operator on Herz spaces.Moreover,using one-sided maximal operator control method,the boundedness of commutators generated by one-sided singular integral operators and Lipschitz function and one-sided fractional integrals proved.

关 键 词：单边奇异积分 单边分数次积分 交换子 HERZ空间 单边Herz Triebel-Lizorkin空间 

分 类 号：O174.2[理学—数学]