Toeplitz operators on generalized Fock spaces
Bull. Korean Math. Soc. 2016 Vol. 53, No. 3, 711-722
Published online May 31, 2016
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
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