TOEPLITZ OPERATORS ON GENERALIZED FOCK SPACES

Title & Authors
TOEPLITZ OPERATORS ON GENERALIZED FOCK SPACES
Cho, Hong Rae;

Abstract
We study Toeplitz operators $\small{T_{\nu}}$ on generalized Fock spaces $\small{F^2_{\phi}}$ with a locally finite positive Borel measures $\small{{\nu}}$ as symbols. We characterize operator-theoretic properties (boundedness and compactness) of $\small{T_{\nu}}$ in terms of the Fock-Carleson measure and the Berezin transform $\small{{\tilde{\nu}}}$.
Keywords
generalized Fock space;Fock-Carleson measure;Toeplitz operator;Berezin transform;
Language
English
Cited by
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