## Illinois Journal of Mathematics

### Interpolating sequences for holomorphic functions of restricted growth

#### Abstract

We show that the interpolating sequences for the algebra of holomorphic functions in the unit disk of order at most $\alpha > 0$ are characterized by a hyperbolic density condition. We also give conditions along the same lines for the analogous problem in the unit ball of $\mathbb{C}^n$.

#### Article information

Source
Illinois J. Math., Volume 46, Number 3 (2002), 929-945.

Dates
First available in Project Euclid: 13 November 2009

https://projecteuclid.org/euclid.ijm/1258130993

Digital Object Identifier
doi:10.1215/ijm/1258130993

Mathematical Reviews number (MathSciNet)
MR1951249

Zentralblatt MATH identifier
1040.30018

#### Citation

Hartmann, Andreas; Massaneda, Xavier. Interpolating sequences for holomorphic functions of restricted growth. Illinois J. Math. 46 (2002), no. 3, 929--945. doi:10.1215/ijm/1258130993. https://projecteuclid.org/euclid.ijm/1258130993