## On the isomorphic classification of weighted spaces of holomorphic functions.(English)Zbl 0965.46012

Summary: We show that there are only two isomorphism classes for weighted spaces of holomorphic functions on the unit disk with moderately decreasing weights. In particular, a space of holomorphic functions with a weighted sup-norm here is either isomorphic to $$\ell_\infty$$ or to $$H_\infty$$ depending on special properties of the weight which can be easily checked.

### MSC:

 4.6e+11 Topological linear spaces of continuous, differentiable or analytic functions
Full Text: