Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2016; 53(3): 711-722

Printed May 31, 2016

https://doi.org/10.4134/BKMS.b150263

Copyright © The Korean Mathematical Society.

Toeplitz operators on generalized Fock spaces

Hong Rae Cho

Pusan National University

Abstract

We study Toeplitz operators $T_\nu$ on generalized Fock spaces $F^2_\phi$ with a locally finite positive Borel measures $\nu$ as symbols. We characterize operator-theoretic properties (boundedness and compactness) of $T_\nu$ in terms of the Fock-Carleson measure and the Berezin transform $\widetilde\nu$.

Keywords: generalized Fock space, Fock-Carleson measure, Toeplitz operator, Berezin transform

MSC numbers: 30H20, 47B35