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

J. Anal. Math. 101 (2007), 65--93. We study the possibility of splitting any bounded analytic function with singularities in a closed set E union 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...

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Bibliographic Details
Main Authors Havin, V. P, Nersessian, A. H, Ortega-Cerda, J
Format Journal Article
LanguageEnglish
Published 08.06.2005
Subjects
Mathematics - Complex Variables
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Summary:J. Anal. Math. 101 (2007), 65--93. We study the possibility of splitting any bounded analytic function with singularities in a closed set E union 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.
DOI:10.48550/arxiv.math/0506131