Bloch型空间上的Toeplitz算子及分数阶导数刻画  

On the characterization of Toeplitz operators and fractional derivatives on Bloch-type space

作　　者：贾策 曹广福[1] 王晓峰[1] 张艺渊[1] JIA Ce;CAO Guang-Fu;WANG Xiao-Feng;ZHANG Yi-Yuan(School of Mathematics and Information Science,Guangzhou University,Guangzhou 510006,China;Institute of Biophysics,Chinese Academy of Sciences,Beijing 100101,China)

机构地区：[1]广州大学数学与信息科学学院,广州510006 [2]中国科学院生物物理研究所,北京100101

出　　处：《四川大学学报（自然科学版）》2023年第3期1-9,共9页Journal of Sichuan University(Natural Science Edition)

摘　　要：令μ为C^(n)中单位球B_(n)上的正Borel测度.本文主要刻画了Bloch型空间B^(α)(B_(n))上以μ为符号的Toeplitz算子T_(μ)^(α)的有界性和紧性,其中0<α<1.当α>l时,本文利用分数阶导数给出了B^(α)(B_(n))空间上的函数刻画的充要条件.Letμbe the positive Borel measure on the unit ball B_(n)of C^(n)We in this paper characterize the measureμon B_(n)for which the Toeplitz operator T_(μ)^(α)is bounded or compact on the Bloch-type spaces B*(B,),where 0<a<1.Additionlly,we also give a characterization for the functions on B^(α)(B_(n))in terms of fractional derivatives,where a>1.

关 键 词：TOEPLITZ算子 分数阶导数 BLOCH型空间 

分 类 号：O177[理学—数学]