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

Toeplitz operators on Fock-Sobolev spaces with positive measure symbols

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：tttde123

【摘 要】

：

We discuss Toeplitz operators on Fock-Sobolev space with positive measure symbols.By FockCarleson measure,we obtain the characterizations for boundedness and co

【作 者】

：

WANG XiaoFeng CAO GuangFu XIA 

【机 构】

：

SchoolofMathematicsandInformationScienceandKeyLaboratoryofMathematicsandInterdisciplinarySciencesoft

【出 处】

：

中国科学：数学英文版

【发表日期】

：

2014年7期

【关键词】

：

Toeplitz算子 SOBOLEV空间 索伯列夫空间 等价条件 紧凑性 类属性 Fock-Sobolev spaceToeplitz operatorboun 

【基金项目】

：

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

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We discuss Toeplitz operators on Fock-Sobolev space with positive measure symbols.By FockCarleson measure,we obtain the characterizations for boundedness and compactness of Toeplitz operators.We also give some equivalent conditions of Schatten p-class pro

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