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
DOI: 10.5565/publmat_32188_13
Títulos paralelos:
- Sobre los cocientes de funciones holomorfas en el disco con condiciones de regularidad de frontera
Enlaces
- Texto completo
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).