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

Ortega, Joaquín M.. "On quotients of holomorphic funtions in the dics with boundary regularity conditions.." Publicacions Matemàtiques 32.1 (1988): 135-144. <http://eudml.org/doc/41031>.

@article{Ortega1988,
abstract = {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), A∞(D) or Λ1(D) with a nonvanishing denominator in D. As a consequence we prove that if f ∈ Λ1(D) does not vanish in D, then there exists g ∈ Λ1(D) which has the same zero set as f in Dbar and such that fg ∈ A∞(D). },
author = {Ortega, Joaquín M.},
journal = {Publicacions Matemàtiques},
keywords = {Espacios de funciones holomorfas; Función lipschitziana; Banach algebra; Frechet algebra; Lipschitz condition},
language = {eng},
number = {1},
pages = {135-144},
title = {On quotients of holomorphic funtions in the dics with boundary regularity conditions.},
url = {http://eudml.org/doc/41031},
volume = {32},
year = {1988},
}

TY - JOUR
AU - Ortega, Joaquín M.
TI - On quotients of holomorphic funtions in the dics with boundary regularity conditions.
JO - Publicacions Matemàtiques
PY - 1988
VL - 32
IS - 1
SP - 135
EP - 144
AB - 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), A∞(D) or Λ1(D) with a nonvanishing denominator in D. As a consequence we prove that if f ∈ Λ1(D) does not vanish in D, then there exists g ∈ Λ1(D) which has the same zero set as f in Dbar and such that fg ∈ A∞(D).
LA - eng
KW - Espacios de funciones holomorfas; Función lipschitziana; Banach algebra; Frechet algebra; Lipschitz condition
UR - http://eudml.org/doc/41031
ER -