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http://dx.doi.org/10.4134/BKMS.b150263

TOEPLITZ OPERATORS ON GENERALIZED FOCK SPACES

Cho, Hong Rae (Department of Mathematics Pusan National University)

Publication Information

Bulletin of the Korean Mathematical Society / v.53, no.3, 2016 , pp. 711-722 More about this Journal

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 ${\tilde{\nu}}$ .

Keywords

generalized Fock space; Fock-Carleson measure; Toeplitz operator; Berezin transform;

Citations & Related Records

Reference

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