Year: 2026
Type: article
Abstract: We study membership of rational inner functions on the bidisk D2 in a scale of Dirichlet spaces considered by Bera, Chavan, and Ghara, and in higher-order variants of these spaces. We give a characterization for membership in terms of the geometric concept of contact order of a rational inner function at its singular points, and we record some consequences and variants of our main result.
Source: Studia Mathematica
DOI: 10.4064/sm260102-6-5
Authors: Athanasios Beslikas, Alan Sola
Institutions: Jagiellonian University, Stockholm University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Funder: Stockholms Universitet
OpenAlex ID: W7116986996