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Toeplitz operators on Fock-Sobolev spaces with positive measure symbols

Toeplitz operators on Fock-Sobolev spaces with positive measure symbols

作     者:WANG XiaoFeng CAO GuangFu XIA Jin 

作者机构:School of Mathematics and Information Science and Key Laboratory of Mathematics and Interdisciplinary Sciences of the Guangdong Higher Education InstituteGuangzhou University 

出 版 物:《Science China Mathematics》 (中国科学:数学(英文版))

年 卷 期:2014年第57卷第7期

页      面:1443-1462页

核心收录:

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基  金:supported by National Natural Science Foundation of China (Grant Nos.11271092 and 11301101) Guangzhou Higher Education Science and Technology Project (Grant No.2012A018) 

主  题:Fock-Sobolev space Toeplitz operator boundedness compactness Schatten p-class 

摘      要:We discuss Toeplitz operators on Fock-Sobolev space with positive measure *** FockCarleson measure,we obtain the characterizations for boundedness and compactness of Toeplitz *** also give some equivalent conditions of Schatten p-class properties of Toeplitz operators by Berezin transform.

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