On weighted Hardy spaces on the unit disk
Volume 107 / 2015
Banach Center Publications 107 (2015), 195-204
MSC: Primary 30H10; Secondary 30E25.
DOI: 10.4064/bc107-0-14
Abstract
In this paper we completely characterize those weighted Hardy spaces that are Poletsky–Stessin Hardy spaces $H^p_u$. We also provide a reduction of $H^\infty$ problems to $H^p_u$ problems and demonstrate how such a reduction can be used to make shortcuts in the proofs of the interpolation theorem and corona problem.
