We study the spaces of holomorphic functions on the punctured plane which are square integrable with respect to a weight. We determine when these spaces are finite-dimensional and which are composition operators acting on them, studying their cyclicity and hypercyclicity properties.
Composition Operators on Bergman Spaces over the Punctured Plane / DE FABRITIIS, Chiara. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - 274:(2006), pp. 152-179.
Composition Operators on Bergman Spaces over the Punctured Plane
DE FABRITIIS, Chiara
2006-01-01
Abstract
We study the spaces of holomorphic functions on the punctured plane which are square integrable with respect to a weight. We determine when these spaces are finite-dimensional and which are composition operators acting on them, studying their cyclicity and hypercyclicity properties.File in questo prodotto:
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