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Traces of certain classes of holomorphic functions on finite unions of Carleson sequences

Published online by Cambridge University Press:  19 July 2001

ANDREAS HARTMANN
ANDREAS HARTMANN
Affiliation:
U.F.R. Mathématiques/Informatique, Université Bordeaux I, 351 cours de la Libération, 33405 Talence/Cedex, France; e-mail: hartmann@math.u-bordeaux.fr
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Abstract

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We give a method allowing the generalization of the description of trace spaces of certain classes of holomorphic functions on Carleson sequences to finite unions of Carleson sequences. We apply the result to different classes of spaces of holomorphic functions such as Hardy classes and Bergman type spaces.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 41 , Issue 1 , March 1999 , pp. 103 - 114
Copyright
1999 Glasgow Mathematical Journal Trust