平均振荡和相关于具有非光滑核的分数阶和奇异积分算子的Toeplitz型算子的有界性  

Mean Oscillation and Boundedness of Toeplitz Type Operator Related to Fractional and Singular Integral Operators with Non-Smooth Kernels on Orlicz Space

作　　者：尤俊丽 史亚丹 刘岚喆 YOU Junli;SHI Yadan;LIU Lanzhe(School of General Education,Hunan University of Information and Technology,Changsha 410151,China.)

机构地区：[1]湖南信息学院通识教育学院,长沙410151

出　　处：《数学年刊(A辑)》2024年第3期319-332,共14页Chinese Annals of Mathematics

摘　　要：本文对相关于具有非光滑核的分数阶和奇异积分算子的Toeplitz型算子证明了其从Lebesgue空间到Orlicz空间的有界性.In this paper,the boundedness from Lebesgue space to Orlicz space of the Toeplitz type operator related to the fractional and singular integral operators with nonsmooth kernels is obtained.

关 键 词：TOEPLITZ型算子 分数阶和奇异积分算子 非光滑核 BMO空间 ORLICZ空间 

分 类 号：O174.3[理学—数学]