Article
Large subspaces of compositionally universal functions with maximal cluster sets
Author/s | Bernal González, Luis
Calderón Moreno, María del Carmen Prado Bassas, José Antonio |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2012-02 |
Deposit Date | 2016-09-27 |
Published in |
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Abstract | Let (φn) be a sequence of holomorphic self-maps of a Jordan domain G in
the complex plane. Under appropriate conditions on (φn), we construct an
H(G)-dense linear manifold –as well as a closed infinite-dimensional ... Let (φn) be a sequence of holomorphic self-maps of a Jordan domain G in the complex plane. Under appropriate conditions on (φn), we construct an H(G)-dense linear manifold –as well as a closed infinite-dimensional linear manifold– all of whose non-zero functions have H(G)-dense orbits under the action of the sequence of composition operators associated to (φn). Simultaneously, these functions also present maximal cluster sets along each member of a large class of curves in G tending to the boundary. |
Project ID. | FQM-127
MTM2009-10696-C02-01 MTM2007-30904-E |
Citation | Bernal González, L., Calderón Moreno, M.d.C. y Prado Bassas, J.A. (2012). Large subspaces of compositionally universal functions with maximal cluster sets. Journal of Approximation Theory, 164 (2), 253-267. |
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