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Isometries of weighted spaces of holomorphic functions on unbounded domains

Published online by Cambridge University Press:  25 March 2009

Christopher Boyd  and
Pilar Rueda
Christopher Boyd
Affiliation:
School of Mathematical Sciences, University College Dublin, Belfield, Dublin 4, Ireland ([email protected])
Pilar Rueda
Affiliation:
Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Valencia, 46100 Burjasot, Valencia, Spain ([email protected])
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Abstract

We study isometries between weighted spaces of holomorphic functions on unbounded domains in ℂn. We show that weighted spaces of holomorphic functions on unbounded domains may exhibit behaviour different from that observed on bounded domains. We calculate the isometries for specific weights on the complex plane and the right half-plane.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 139 , Issue 2 , April 2009 , pp. 253 - 271
Copyright
Copyright © Royal Society of Edinburgh 2009

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