XXVI Workshop on Geometric Methods in Physics 1-7.07.2007

Zbigniew Pasternak-Winiarski

On the space of admissible weights for weighted Bergman spaces

The space $AW(\Omega)$ of admissible weights on an open set in ${\bf C}^n$ and the functional transformation defined on this space by weighted Bergman functions are considered. The new natural topology on $AW(\Omega)$ is defined and properties of this topology are examined. Suitable examples illustrated general consideration are given.