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Complex Variables and Elliptic Equations
An International Journal
Volume 52, 2007 - Issue 2-3: A tribute to Peter Duren
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Original Articles

Composition operators on Bergman spaces on Lavrentiev domains

Eva A. Gallardo-Gutiérrez Departamento de Matemáticas, Universidad de Zaragoza, Plaza San Francisco s/n, 50009 Zaragoza, SpainCorrespondence[email protected]
&
María J. González Departamento de Matemáticas, Universidad de Cádiz, Apartado 40, 11510 Puerto Real (Cádiz), Spain
Pages 183-192 | Received 21 Oct 2005, Accepted 10 May 2006, Published online: 19 Oct 2007
 
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Abstract

In this note, composition operators on Bergman spaces of a simply connected domain are studied characterizing boundedness and compactness of such operators whenever the domain is Lavrentiev.

§Dedicated to Professor Peter L. Duren on the occasion of his 70th birthday.

Acknowledgements

The first author was partially supported by Plan Nacional I+D grant number MTM2006-06431 and Gobierno de Aragón research group Análisis Matemático y Applicaciones, reference DGA E-64. The second author was partially supported by Plan Nacional I+D grant number BFM2002-00571 and 2001SGR00431.

Notes

§Dedicated to Professor Peter L. Duren on the occasion of his 70th birthday.

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