Composition Operators on Spaces of Holomorphic Functions

Authors

  • Chiara De Fabritiis

DOI:

https://doi.org/10.1685/

Abstract

In this talk we discuss several features of Banach and Hilbert spaces of holomorphic functions on domains of M23_Defabritiis0.png such as Hardy and Bergman spaces. In particular, we study composition on generalized Bergman spaces and give results on the dynamical behaviour ( i.e. cyclicity, hypercyclicity, compactness). Special attention will be paid to underline the analogies and differences between the case of bounded and unbounded domains contained in M23_Defabritiis1.png and M23_Defabritiis0.png. [DOI: 10.1685 / CSC06065] About DOI

Downloads

Published

2007-10-01

Issue

Vol. 1 (2006)

Section

Articles

License

Authors who submit to this journal agree to the following terms: a) Authors retain copyright over their work, while allowing the SIMAI to place this accepted work under a Creative Commons Attribution License (CC license), which allows others to freely access, use, and share the work, with an acknowledgement of the work's authorship. b) Authors are able to waive the terms of the CC license and enter into separate, additional contractual arrangements for the non-exclusive distribution and subsequent publication of this work (e.g., publish a revised version in a journal, post it to an institutional repository or publish it in a book). with an acknowledgement of its initial publication on “Communications to SIMAI Congress”. c) In addition, authors are encouraged to post and share their work online (e.g., in institutional repositories or on their website).