1. Interpolation of bounded sequences
- Creator:
- Tugores, Francesc
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- nterpolating sequence, Carleson's theorem, uniformly separated, Blaschke product, and Lipschitz class
- Language:
- English
- Description:
- This paper deals with an interpolation problem in the open unit disc $\mathbb D$ of the complex plane. We characterize the sequences in a Stolz angle of $\mathbb D $, verifying that the bounded sequences are interpolated on them by a certain class of not bounded holomorphic functions on $\mathbb D $, but very close to the bounded ones. We prove that these interpolating sequences are also uniformly separated, as in the case of the interpolation by bounded holomorphic functions
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public