Uniform estimates in the Poincare-Aronszajn theorem on the separation of singularities of analytic functions

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Title:	Uniform estimates in the Poincare-Aronszajn theorem on the separation of singularities of analytic functions
Author:	Havin, V.P.; Nersessian, A.H.; Ortega Cerdà, Joaquim
Other authors:	Universitat de Barcelona
Abstract:	We study the possibility of splitting any bounded analytic function $f$ with singularities in a closed set $E\cup F$ as a sum of two bounded analytic functions with singularities in $E$ and $F$ respectively. We obtain some results under geometric restrictions on the sets $E$ and $F$ and we provide some examples showing the sharpness of the positive results.
Subject(s):	-Funcions de variables complexes -Functions of complex variables
Rights:	(c) The Hebrew University of Jerusalem, 2007
Document type:	Article Article - Accepted version
Published by:	Springer
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