Interpolating sequences for Banach spaces of holomorphic functions
This work studies interpolating sequences for Banach spaces of analytic functions, such as Hardy spaces of bounded holomorphic functions on domains of $\C^N$. New results are obtained on minimal sets of bounded sequences whose interpolation by functions in $H^\infty(\D)$ guarantees that a sequence is interpolating for such spaces. The first sufficient condition, in terms of the Gleason distance, is also provided for a sequence in $M_A \cap X$ to be interpolating for a dual uniform algebra $A = X^*$, together with a simple characterization of interpolating sequences for those bidual uniform algebras that are regular.
Authors
- Mario Pérez Maletzki
Publication Details
- Journal
- Repositori UJI (Universitat Jaume I)
- Published
- 2026-02-12
- Primary Topic
- Advanced Banach Space Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00