Cyclic phenomena for composition operators on weighted Bergman spaces

Gori, Anna

Bollettino dell'Unione Matematica Italiana, Tome 9-A (2006), p. 529-543 / Harvested from Biblioteca Digitale Italiana di Matematica

Abstract

In the present paper we give a generalization to the family of Bergman Spaces with weight $G$, $A^2_G$ of several results, obtained in [4] for the Hardy space $H^2$, concerning the cyclic and hypercyclic behaviour of composition operators CW induced by a holomorphic self map $\varphi$ of the open unit disc $\Delta \subset \mathbb{C}$.

Résumé

In questo lavoro diamo una generalizzazione alla famiglia di Spazi di Bergman con peso $G$, $A^2_G$, di alcuni risultati ottenuti in [4] per lo spazio di Hardy $H^2$. In particolare studiamo il comportamento ciclico e iperciclico, nello spazio $A^2_G$, di operatori di composizione indotti da una funzione olomorfa $\varphi$ del disco unitario $\Delta \subset \mathbb{C}$ in sé.

Détail

Publié le : 2006-10-01

MR 2274110 | Zbl 1150.47006

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