Interpolating sequences for Banach spaces of holomorphic functions
Year: 2026
Type: dissertation
Abstract: 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.
Author: Pérez Maletzki, Mario
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7130273029
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