A New Approach to the Corona Theorem for Domains Bounded by a C1+α CURVE

  1. Gonzalez Fuentes, María José 1
  2. Enríquez-Salamanca, José Manuel 1
  1. 1 Universidad de Cádiz
    info

    Universidad de Cádiz

    Cádiz, España

    ROR https://ror.org/04mxxkb11

Zeitschrift:
Annales Academiæ Scientiarum Fennicæ Mathematica, Volumen 40

Datum der Publikation: 2015

Seiten: 767-772

Art: Artikel

DOI: 10.5186/AASFM.2015.4043 GOOGLE SCHOLAR lock_openOpen Access editor

Zusammenfassung

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.