On weighted Hardy spaces on the unit disk

2015/03/02 by Evgeny A. Poletsky, Poletsky, Evgeny A., Khim R. Shrestha +1
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Complex Variables (math.CV) #Differential Equations and Boundary Problems #FOS: Mathematics #Primary 30H10 #Secondary 30E25

paper · pdf · doi:10.48550/arxiv.1503.00535

openalex publication_date 2015/03/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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^∞ 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.

Related

• Structure of weighted Hardy spaces in the plane
• Weighted Hardy spaces on the unit disk
• Boundary Values Properties of Functions in Weighted Hardy Spaces
• The corona theorem in weighted Hardy and Morrey spaces
• Weighted local Hardy spaces and their applications