A New Approach to the Corona Theorem for Domains Bounded by a C1+α CURVE
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Gonzalez Fuentes, María José
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Enríquez-Salamanca, José Manuel
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Universidad de Cádiz
info
Journal:
Annales Academiæ Scientiarum Fennicæ Mathematica, Volumen 40
Year of publication: 2015
Pages: 767-772
Type: Article
Abstract
We prove the corona theorem for domains whose boundary lies in a C1+α curve.For that, we transfer H∞ on the complement of the curve onto a Denjoy domain and use the resultsfrom Garnett and Jones.