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

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dc.creatorHavin, V. P.
dc.creatorNersessian, A. H.
dc.creatorOrtega-Cerda, J.
dc.date2005-06-08
dc.date.accessioned2026-07-07T09:56:03Z
dc.date.available2026-07-07T09:56:03Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/math/0506131
dc.identifierhttp://arxiv.org/abs/math/0506131
dc.identifierJ. Anal. Math. 101 (2007), 65--93.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166846
dc.subjectComplex Variables
dc.titleUniform estimates in the Poincare-Aronszajn Theorem on the separation of singularities of analytic functions
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