Article
Universality of holomorphic functions bounded on closed sets
Author/s | Bernal González, Luis
Bonilla Ramírez, Antonio Lorenzo |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2006-03-01 |
Deposit Date | 2019-06-19 |
Published in |
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Abstract | In this note, the existence of translation-universal entire functions which are bounded on certain closed subsets is characterized in terms of topological and geometrical properties of such subsets. Corresponding results ... In this note, the existence of translation-universal entire functions which are bounded on certain closed subsets is characterized in terms of topological and geometrical properties of such subsets. Corresponding results are also stated in the space of holomorphic functions on the unit disk and in the space of harmonic functions on the plane. Moreover, it is shown the existence of entire functions which are bounded on many rays and, simultaneously, are universal with respect to a prescribed infinite-order differential operator. |
Project ID. | FQM-127
BFM2003-03893-C02-01 BFM 2002-02098 |
Citation | Bernal González, L. y Bonilla Ramírez, A.L. (2006). Universality of holomorphic functions bounded on closed sets. Journal of Mathematical Analysis and Applications, 315 (1), 302-316. |
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