Cyclic phenomena for composition operators on weighted Bergman spaces
Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 3, pp. 529-543

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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 $\Delta \subset \mathbb{C}$.
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     author = {Gori, Anna},
     title = {Cyclic phenomena for composition operators on weighted {Bergman} spaces},
     journal = {Bollettino della Unione matematica italiana},
     pages = {529--543},
     publisher = {mathdoc},
     volume = {Ser. 8, 9B},
     number = {3},
     year = {2006},
     zbl = {1150.47006},
     mrnumber = {2274110},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_3_a0/}
}
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Gori, Anna. Cyclic phenomena for composition operators on weighted Bergman spaces. Bollettino della Unione matematica italiana, Série 8, 9B (2006) no. 3, pp. 529-543. http://geodesic.mathdoc.fr/item/BUMI_2006_8_9B_3_a0/