English

On weighted Hardy spaces on the unit disk

Complex Variables 2015-03-03 v1

Abstract

In this paper we completely characterize those weighted Hardy spaces that are Poletsky--Stessin Hardy spaces HupH^p_u. We also provide a reduction of HH^\infty problems to HupH^p_u problems and demonstrate how such a reduction can be used to make shortcuts in the proofs of the interpolation theorem and corona problem.

Keywords

Cite

@article{arxiv.1503.00535,
  title  = {On weighted Hardy spaces on the unit disk},
  author = {Evgeny A. Poletsky and Khim R. Shrestha},
  journal= {arXiv preprint arXiv:1503.00535},
  year   = {2015}
}
R2 v1 2026-06-22T08:41:49.096Z