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Toeplitz operators on Fock-Sobolev spaces with positive measure symbols
Authors:XiaoFeng Wang  GuangFu Cao  Jin Xia
Institution: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
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.
Keywords:Fock-Sobolev space  Toeplitz operator  boundedness  compactness  Schatten p-class
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