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Toeplitz Operators on Fock–Sobolev Type Spaces

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Abstract

In this paper, we characterize operator-theoretic properties (boundedness, compactness, and Schatten class membership) of Toeplitz operators with positive measure symbols on weighted Fock–Sobolev spaces of fractional order.

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Authors and Affiliations

  1. Department of Mathematics, Pusan National University, Pusan, 609-735, Republic of Korea

    Hong Rae Cho

  2. Department of Mathematics and Statistics, University at Albany, 1400 Washington Ave., Albany, NY, 12222, USA

    Joshua Isralowitz

  3. Department of Mathematics, University of Wuppertal, Gaussstr. 20, 42119, Wuppertal, Germany

    Jae-Cheon Joo

Authors
  1. Hong Rae Cho
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  2. Joshua Isralowitz
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  3. Jae-Cheon Joo
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Corresponding author

Correspondence to Joshua Isralowitz.

Additional information

H. R. Cho was supported by NRF of Korea (NRF-2014R1A1A2056828). Also, part of this work was done while the J. Isralowitz was a postdoctoral researcher at Georg-August Universität Göttingen, where he was supported by an Emmy-Noether grant of Deutsche Forschungsgemeinschaft.

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Cho, H.R., Isralowitz, J. & Joo, JC. Toeplitz Operators on Fock–Sobolev Type Spaces. Integr. Equ. Oper. Theory 82, 1–32 (2015). https://doi.org/10.1007/s00020-015-2223-8

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  • DOI: https://doi.org/10.1007/s00020-015-2223-8

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