We introduce a class of operators, called l-Hankel operators, as those that satisfy the operator equation S g X -XS=lX, where S is the unilateral forward shift and l is a complex number. We investigate some of the properties of l-Hankel operators and show that much of their behaviour is similar to t
A New Generalization of Hankel Operators (the Case of Higher Weights)
β Scribed by Svante Janson; Jaak Peetre
- Publisher
- John Wiley and Sons
- Year
- 1987
- Tongue
- English
- Weight
- 774 KB
- Volume
- 132
- Category
- Article
- ISSN
- 0025-584X
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## Abstract In this paper we consider Hankel operators $ \tilde H \_{{\bar z}^k}$ = (__Id__ β __P__ ~1~)$ \bar z^k $ from __A__ ^2^(β, |__z__ |^2^) to __A__ ^2,1^(β, |__z__ |^2^)^β₯^. Here __A__ ^2^(β, |__z__ |^2^) denotes the Fock space __A__ ^2^(β, |__z__ |^2^) = {__f__: __f__ is entire and β__f_