English

Interpolation in Model Spaces

Complex Variables 2020-09-07 v1

Abstract

In this paper we consider interpolation in model spaces, H2BH2H^2 \ominus B H^2 with BB 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.

Keywords

Cite

@article{arxiv.2009.01957,
  title  = {Interpolation in Model Spaces},
  author = {Pamela Gorkin and Brett D. Wick},
  journal= {arXiv preprint arXiv:2009.01957},
  year   = {2020}
}

Comments

v1: 13 pages

R2 v1 2026-06-23T18:18:26.972Z