Schatten-p Class(0

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作　　者：Lian Hua XIAO Xiao Feng WANG Jin XIA 

机构地区：[1]School of Mathematics and Information Science and Key Laboratory of Mathematics and Interdisciplinary Sciences of the Guangdong Higher Education Institute,Guangzhou University

出　　处：《Acta Mathematica Sinica,English Series》2015年第4期703-714,共12页数学学报（英文版）

基　　金：supported by NSFC(Grant Nos.11301101,11271092 and 11471084);the Guangzhou Higher Education Science and Technology Project(Grant No.2012A018)

摘　　要：In this paper, we discuss the Schatten-p class （0 〈 p≤∞ ） of Toeplitz operators on generalized Foek space with the symbol in positive Borel measure. It makes a great difference from other papers by using the estimates of the kernel and the weight together instead of separately estimating each other. We also get the equivalent conditions when a Toeplitz operator is in the Schatten-p class.In this paper, we discuss the Schatten-p class （0 〈 p≤∞ ） of Toeplitz operators on generalized Foek space with the symbol in positive Borel measure. It makes a great difference from other papers by using the estimates of the kernel and the weight together instead of separately estimating each other. We also get the equivalent conditions when a Toeplitz operator is in the Schatten-p class.

关 键 词：Schatten class generalized Fock space compact operator 

分 类 号：O177.3[理学—数学] O413.1[理学—基础数学]