• Interpolation for a subclass of $H^\infty$

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/124/03/0343-0348

• # Keywords

Interpolating sequence; bounded analytic function; Lipschitz class.

• # Abstract

We introduce and characterize two types of interpolating sequences in the unit disc $\mathbb{D}$ of the complex plane for the class of all functions being the product of two analytic functions in $\mathbb{D}$, one bounded and another regular up to the boundary of $\mathbb{D}$, concretely in the Lipschitz class, and at least one of them vanishing at some point of $\overline{\mathbb{D}}$.

• # Author Affiliations

1. Departamento de Matemáticas, Universidade de Vigo, 32004 Ourense, Spain

• # Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 5
November 2019

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019