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Toeplitz operators on Fock-Sobolev spaces with positive measure symbols

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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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Authors and Affiliations

  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

    XiaoFeng Wang, GuangFu Cao & Jin Xia

Authors
  1. XiaoFeng Wang
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  2. GuangFu Cao
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  3. Jin Xia
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Correspondence to Jin Xia.

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Wang, X., Cao, G. & Xia, J. Toeplitz operators on Fock-Sobolev spaces with positive measure symbols. Sci. China Math. 57, 1443–1462 (2014). https://doi.org/10.1007/s11425-014-4813-3

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  • DOI: https://doi.org/10.1007/s11425-014-4813-3

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