A_(2)权调和Bergman空间上正符号Toeplitz算子  

Toeplitz Operators with Positive Symbols on A_(2)Weighted Harmonic Bergman Spaces

作　　者：刘柚岐 夏锦[1] 王晓峰[1] You Qi LIU;Jin XIA;Xiao Feng WANG(School of Mathematics and Information Science,Guangzhou University,Guangzhou 510006,P.R.China;School of Mathematics and Statistics,Chongqing Technology and Business University,Chongqing 400067,P.R.China)

机构地区：[1]广州大学数学与信息科学学院,广州510006 [2]重庆工商大学数学与统计学院,重庆400067

出　　处：《数学学报（中文版）》2024年第3期468-481,共14页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(11971125)。

摘　　要：本文讨论了n维实空间中有界光滑域的A_(2)权调和Bergman空间上正符号Toeplitz算子.通过平均函数和Berezin变换,得到了Toeplitz算子具有有界性和紧性的等价条件.同时,也刻画了Schatten类Toeplitz算子.We study Toeplitz operators with positive symbols on A_(2)weighted harmonic Bergman spaces in bounded smooth domain of n-dimensional real space.We characterize sufficient and necessary conditions for bounded or compact Toeplitz operators via average function and Berezin transform.The Schatten class Toeplitz operators are obtained as well.

关 键 词：A_(2)权调和Bergman空间 TOEPLITZ算子 有界性 紧性 SCHATTEN类 

分 类 号：O177[理学—数学]