Doubling Fock空间之间的正Toeplitz算子  

Positive Toeplitz operators between doubling Fock spaces

作　　者：简舒曼 王晓峰[1] 夏锦[1] JIAN Shu-Man;WANG Xiao-Feng;XIA Jin(School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China)

机构地区：[1]广州大学数学与信息科学学院

出　　处：《四川大学学报（自然科学版）》2020年第2期225-230,共6页Journal of Sichuan University(Natural Science Edition)

基　　金：国家自然科学基金(11471084)

摘　　要：设F p(?)为复平面C上的加权Fock空间,其中?为次调和函数,Δ?d A为doubling测度.本文利用均值函数与t-Berezin变换刻画了F p(?)(0<p<∞)与F∞(?)之间具有正测度符号的Toeplitz算子Tμ的有界性和紧性,拓展了已有结果.Let F p(?)be a weighted Fock space on the complex plane C,where?is subharmonic andΔ?d A a doubling measure.We characterize the boundedness and compactness of the Toeplitz operator Tμ(with positive Borel measureμon C)between weighted Fock spaces F p(?)(0<p<∞)and F∞(?)by using the averaging functions and t-Berezin transform.Our results extend the known results.

关 键 词：Doubling FOCK空间 TOEPLITZ算子 均值函数 t-Berezin变换 

分 类 号：O177[理学—数学]