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Schatten-p class (0 < p ≤ ∞) Toeplitz operators on generalized Fock spaces

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Abstract

In this paper, we discuss the Schatten-p class (0 < p ≤ ∞) of Toeplitz operators on generalized Fock space with the symbol in positive Borel measure. It makes a great difference from other papers by using the estimates of the kernel and the weight together instead of separately estimating each other. We also get the equivalent conditions when a Toeplitz operator is in the Schatten-p class.

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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, P. R. China

    Lian Hua Xiao, Xiao Feng Wang & Jin Xia

Authors
  1. Lian Hua Xiao
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  2. Xiao Feng Wang
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  3. Jin Xia
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Corresponding author

Correspondence to Xiao Feng Wang.

Additional information

The second and third authors are supported by NSFC (Grant Nos. 11301101, 11271092 and 11471084) and the Guangzhou Higher Education Science and Technology Project (Grant No. 2012A018)

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Xiao, L.H., Wang, X.F. & Xia, J. Schatten-p class (0 < p ≤ ∞) Toeplitz operators on generalized Fock spaces. Acta. Math. Sin.-English Ser. 31, 703–714 (2015). https://doi.org/10.1007/s10114-015-3531-2

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  • DOI: https://doi.org/10.1007/s10114-015-3531-2

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