On quotients of holomorphic funtions in the dics with boundary regularity conditions

• Autores: Joaquín María Ortega Aramburu
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 32, Nº 1, 1988, págs. 135-144
• Idioma: inglés
• Títulos paralelos:
  • Sobre los cocientes de funciones holomorfas en el disco con condiciones de regularidad de frontera
• Enlaces
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• Resumen

  • In this paper we give characterizations of those holomorphic functions in the unit disc in the complex plane that can be written as a quotient of functions in A(D), A8(D) or ?1(D) with a nonvanishing denominator in D. As a consequence we prove that if f Î ?1(D) does not vanish in D, then there exists g Î ?1(D) which has the same zero set as f in Dbar and such that fg Î A8(D).