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

Publicacions Matemàtiques (1988)

- Volume: 32, Issue: 1, page 135-144
- ISSN: 0214-1493

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topOrtega, 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 -

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