Interpolation in Model Spaces
Pamela Gorkin, Brett D. Wick

TL;DR
This paper investigates interpolation properties in model spaces formed by the orthogonal complement of Blaschke products in Hardy space, focusing on the behavior of interpolating sequences and their perturbations.
Contribution
It provides new insights into how unions of interpolating sequences behave in model spaces, especially under pseudohyperbolic distance conditions and sequence perturbations.
Findings
Unions of interpolating sequences can be characterized based on their pseudohyperbolic distance.
Sequences far apart in the pseudohyperbolic metric maintain interpolation properties.
Perturbations of Frostman sequences affect their interpolation behavior.
Abstract
In this paper we consider interpolation in model spaces, with a Blaschke product. We study unions of interpolating sequences for two sequences that are far from each other in the pseudohyperbolic metric as well as two sequences that are close to each other in the pseudohyperbolic metric. The paper concludes with a discussion of the behavior of Frostman sequences under perturbations.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
