Indexed on: 01 Mar '07Published on: 01 Mar '07Published in: Journal d'Analyse Mathématique
We study the possibility of splitting any bounded analytic function ƒ with singularities in a closed set E ⋃ 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.