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Title:
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Uniform estimates in the Poincare-Aronszajn theorem on the separation of singularities of analytic functions
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Author:
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Havin, V.P.; Nersessian, A.H.; Ortega Cerdà, Joaquim
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Other authors:
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Universitat de Barcelona |
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Abstract:
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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. |
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Subject(s):
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Funcions de variables complexes
Functions of complex variables |
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Rights:
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(c) The Hebrew University of Jerusalem, 2007
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Document type:
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Article
info:eu-repo/semantics/acceptedVersion |
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Published by:
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Springer
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Share:
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