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Toeplitz operators on generalized Fock spaces

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대한수학회 (The Korean Mathematical Society)|2016.05|대한수학회보 (Bulletin of the KMS)|제53권 제3호|pp. 711-722

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참고문헌

키워드

Toeplitz operatorgeneralized Fock spaceBerezin transformFock-Carleson measure
주제분류수학

초록

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 $\widetilde\nu$.

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 $\widetilde\nu$.

참고문헌 (10)

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