Artículo

A counterexample for H ∞ approximable functions

Suarez, Fernando DanielIcon
Fecha de publicación: 12/2000
Editorial: American Mathematical Society
Revista: Proceedings of the American Mathematical Society
ISSN: 0002-9939
e-ISSN: 1088-6826
Idioma: Inglés
Tipo de recurso: Artículo publicado

Resumen

Let D be the unit disk. We show that for some relatively closed set F ⊂ D there is a function f that can be uniformly approximated on F by functions of H∞, but such that f cannot be written as f = h + g, with h ∈ H∞ and g uniformly continuous on F. This answers a question of Stray.
Palabras clave: BOUNDED ANALYTIC FUNCTIONS , UNIFORM APPROXIMATION
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/111742
URL: https://www.ams.org/journals/proc/2000-128-10/home.html
URL: https://www.ams.org/journals/proc/2000-128-10/S0002-9939-00-05577-5/S0002-9939-0
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Articulos(IAM) [401]
Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"
Citación
Suarez, Fernando Daniel; A counterexample for H ∞ approximable functions; American Mathematical Society; Proceedings of the American Mathematical Society; 128; 10; 12-2000; 3003-3007
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