Toeplitz operators on Fock-Sobolev spaces with positive measure symbols
Toeplitz operators on Fock-Sobolev spaces with positive measure symbols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.