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.
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)
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).
