Toeplitz operators on Fock-Sobolev spaces with positive measure symbols |
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| Authors: | XiaoFeng Wang GuangFu Cao Jin Xia |
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| Affiliation: | 1. School of Mathematics and Information Science and Key Laboratory of Mathematics and Interdisciplinary Sciences of the Guangdong Higher Education Institute, Guangzhou University, Guangzhou, 510006, China
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| Abstract: | We discuss Toeplitz operators on Fock-Sobolev space with positive measure symbols. By Fock-Carleson measure, we obtain the characterizations for boundedness and compactness of Toeplitz operators. We also give some equivalent conditions of Schatten p-class properties of Toeplitz operators by Berezin transform. |
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| Keywords: | Fock-Sobolev space Toeplitz operator boundedness compactness Schatten p-class |
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