TOEPLITZ OPERATORS ON GENERALIZED FOCK SPACES

TOEPLITZ OPERATORS ON GENERALIZED FOCK SPACES

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...

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Veröffentlicht in:Taehan Suhakhoe hoebo 2016, 53(3), , pp.711-722
1. Verfasser: Cho, Hong Rae
Format: Artikel
Sprache:eng
Schlagworte:
수학
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Zusammenfassung: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 $\widetilde\nu$. KCI Citation Count: 1
ISSN:1015-8634
2234-3016
DOI:10.4134/BKMS.b150263