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

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

2005-06-08

arxiv.org/abs/math/0506131v1

J. Anal. Math. 101 (2007), 65--93.

Mathematics

Complex Variables

Scientific paper

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.

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