On weighted Hardy spaces on the unit disk

• Autorzy: Evgeny A. Poletsky , Khim R. Shrestha
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 30H10: Hardy spaces
• 30E25: Boundary value problems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2015
• Tom: 107
• Numer: 1
• Strony: 195-204

Daty

wydano

2015

Twórcy

autor

Evgeny A. Poletsky

• Department of Mathematics Syracuse University, 215 Carnegie Hall, Syracuse, NY 13244, USA

autor

Khim R. Shrestha

• Department of Mathematics Syracuse University, 215 Carnegie Hall, Syracuse, NY 13244, USA

Identyfikatory

DOI

10.4064/bc107-0-14