Uniform estimates in the Poincare-Aronszajn Theorem on the separation of singularities of analytic functions
英文摘要：
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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