Article
Compositional frequent hypercyclicity on weighted Dirichlet spaces
Author/s | Bernal González, Luis
Bonilla Ramírez, Antonio Lorenzo |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2010-02 |
Deposit Date | 2016-06-02 |
Published in |
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Abstract | It is proved that, in most cases, a scalar multiple of a linear-fractional generated composition operator λCϕ acting on a weighted Dirichlet space Sν of holomorphic functions in the open unit disk is frequently hypercyclic ... It is proved that, in most cases, a scalar multiple of a linear-fractional generated composition operator λCϕ acting on a weighted Dirichlet space Sν of holomorphic functions in the open unit disk is frequently hypercyclic if and only if it is hypercyclic. In fact, this holds for all triples (ν, λ, ϕ) with the possible exception of those satisfying ν ∈ [1/4, 1/2), |λ| = 1, ϕ = a parabolic automorphism. |
Project ID. | FQM-127
MTM2006-13997-C02-01 MTM2005-07347 MTM2006-26627-E |
Citation | Bernal González, L. y Bonilla Ramírez, A.L. (2010). Compositional frequent hypercyclicity on weighted Dirichlet spaces. Bulletin of the Belgian Mathematical Society Simon Stevin, 17 (1), 1-11. |
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