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.
Hong Rae Cho
Pusan National University
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
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