The corona theorem for domains whose boundary lies in a smooth curve-Reference-Cited by-同舟云学术

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The corona theorem for domains whose boundary lies in a smooth curve

Published:1987 Issue:2 Volume:100 Page:266-270
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Moore Charles N.

Abstract

We prove the corona theorem for domains whose boundary lies in a C 1 + α {C^{1 + \alpha }} curve.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1987-100-02/S0002-9939-1987-0884464-9/S0002-9939-1987-0884464-9.pdf

Reference3 articles.

1. Localization of the corona problem;Gamelin, T. W.;Pacific J. Math.,1970

2. Pure and Applied Mathematics;Garnett, John B.,1981

3. The corona theorem for Denjoy domains;Garnett, John B.;Acta Math.,1985

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1. On the Corona Theorem on Smooth Curves;The Journal of Geometric Analysis;2018-10-05

2. Corona Problem for H ∞ on Riemann Surfaces;Fields Institute Communications;2014

3. The corona theorem on the complement of certain square cantor sets;Journal d'Analyse Mathématique;2009-05

4. A new construction of Riemann surfaces with corona;Journal of Geometric Analysis;1998-09

5. Ideals of bounded holomorphic functions on simple n-sheeted discs;Nagoya Mathematical Journal;1991-09

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