Artículo
A Montel-Type Theorem for Hardy Spaces of Holomorphic Functions
Fecha de publicación:
08/2022
Editorial:
Birkhauser Verlag Ag
Revista:
Mediterranean Journal Of Mathematics
ISSN:
1660-5446
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
We give a version of the Montel theorem for Hardy spaces of holomorphic functions on an infinite dimensional space. Precisely, we show that any bounded sequence of holomorphic functions in some Hardy space, has a subsequence that converges uniformly over compact subsets to a function that also belongs to the same Hardy space. As a by-product of our results for spaces of functions on infinitely many variables, we also provide an elementary proof of a Montel-type theorem for the Hardy space of Dirichlet series.
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Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
Fernández Vidal, Tomás Ariel; Galicer, Daniel Eric; Sevilla Peris, Pablo; A Montel-Type Theorem for Hardy Spaces of Holomorphic Functions; Birkhauser Verlag Ag; Mediterranean Journal Of Mathematics; 19; 5; 8-2022; 1-13
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