Toeplitz Operators and Carleson Measures on Generalized Bargmann–Fock Spaces
✍ Scribed by Alexander P. Schuster; Dror Varolin
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 2011
- Tongue
- English
- Weight
- 369 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0378-620X
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📜 SIMILAR VOLUMES
## Abstract In this paper we consider Hankel operators $ \tilde H \_{{\bar z}^k}$ = (__Id__ – __P__ ~1~)$ \bar z^k $ from __A__ ^2^(ℂ, |__z__ |^2^) to __A__ ^2,1^(ℂ, |__z__ |^2^)^⊥^. Here __A__ ^2^(ℂ, |__z__ |^2^) denotes the Fock space __A__ ^2^(ℂ, |__z__ |^2^) = {__f__: __f__ is entire and ‖__f_
## Abstract In this paper we investigate Hankel operators with anti‐holomorphic __L__^2^‐symbols on generalized Fock spaces __A__~__m__~^2^ in one complex dimension. The investigation of the mentioned operators was started in [4] and [3]. Here, we show that a Hankel operator with anti‐holomorphic