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
|
Share:
|
|