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Search: MSC category 32A38 ( Algebras of holomorphic functions [See also 30H05, 46J10, 46J15] )

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1. CMB Online first

Krantz, Steven
On a theorem of Bers, with applications to the study of automorphism groups of domains
We study and generalize a classical theorem of L. Bers that classifies domains up to biholomorphic equivalence in terms of the algebras of holomorphic functions on those domains. Then we develop applications of these results to the study of domains with noncompact automorphism group.

Keywords:Bers's theorem, algebras of holomorphic functions, noncompact automorphism group, biholomorphic equivalence
Categories:32A38, 30H50, 32A10, 32M99

2. CMB 2003 (vol 46 pp. 559)

Marco, Nicolas; Massaneda, Xavier
On Density Conditions for Interpolation in the Ball
In this paper we study interpolating sequences for two related spaces of holomorphic functions in the unit ball of $\C^n$, $n>1$. We first give density conditions for a sequence to be interpolating for the class $A^{-\infty}$ of holomorphic functions with polynomial growth. The sufficient condition is formally identical to the characterizing condition in dimension $1$, whereas the necessary one goes along the lines of the results given by Li and Taylor for some spaces of entire functions. In the second part of the paper we show that a density condition, which for $n=1$ coincides with the characterizing condition given by Seip, is sufficient for interpolation in the (weighted) Bergman space.

Categories:32A36, 32A38, 30E05

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