In this paper we discuss several features of Hilbert spaces of holomorphic functions on domains of Cn. We study composition and multiplication operators on generalized Bergman spaces and give results on the dynamical behaviour (i.e. cyclicity, hypercyclicity, compactness) of the first ones and on the algebraic properties of the space that the second one interprets. In particular we underline the analogies and differences between the case of bounded and unbounded domains in C and Cn.
Linear Operators on generalized Bergman Spaces / DE FABRITIIS, Chiara. - 729:(2004), pp. 147-161. (Intervento presentato al convegno International Workshop on Global Analysis tenutosi a Ankara nel 2004).
Linear Operators on generalized Bergman Spaces
DE FABRITIIS, Chiara
2004-01-01
Abstract
In this paper we discuss several features of Hilbert spaces of holomorphic functions on domains of Cn. We study composition and multiplication operators on generalized Bergman spaces and give results on the dynamical behaviour (i.e. cyclicity, hypercyclicity, compactness) of the first ones and on the algebraic properties of the space that the second one interprets. In particular we underline the analogies and differences between the case of bounded and unbounded domains in C and Cn.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
