English

Univalent functions in model spaces: revisited

Complex Variables 2017-06-07 v2

Abstract

Motivated by a problem in approximation theory, we find a necessary and sufficient condition for a model (backward shift invariant) subspace KΘ=H2ΘH2K_\varTheta = H^2\ominus \varTheta H^2 of the Hardy space H2H^2 to contain a bounded univalent function.

Keywords

Cite

@article{arxiv.1705.05930,
  title  = {Univalent functions in model spaces: revisited},
  author = {Anton Baranov and Yurii Belov and Alexander Borichev and Konstantin Fedorovskiy},
  journal= {arXiv preprint arXiv:1705.05930},
  year   = {2017}
}
R2 v1 2026-06-22T19:49:12.146Z