Artículo
Approximation numbers of composition operators on the Dirichlet space
Autor/es | Lefèvre, Pascal
Li, Daniel Queffélec, Hervé Rodríguez Piazza, Luis |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2015-04 |
Fecha de depósito | 2018-02-01 |
Publicado en |
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Resumen | We study the decay of approximation numbers of compact composition
operators on the Dirichlet space. We give upper and lower bounds for
these numbers. In particular, we improve on a result of O. El-Fallah, K. Kellay,
M. ... We study the decay of approximation numbers of compact composition operators on the Dirichlet space. We give upper and lower bounds for these numbers. In particular, we improve on a result of O. El-Fallah, K. Kellay, M. Shabankhah and A. Youssfi, on the set of contact points with the unit circle of a compact symbolic composition operator acting on the Dirichlet space D. We extend their results in two directions: first, the contact only takes place at the point 1. Moreover, the approximation numbers of the operator can be arbitrarily sub-exponentially small. |
Agencias financiadoras | Ministerio de Economía y Competitividad (MINECO). España |
Identificador del proyecto | MTM 2012-30748 |
Cita | Lefèvre, P., Li, D., Queffélec, H. y Rodríguez Piazza, L. (2015). Approximation numbers of composition operators on the Dirichlet space. Arkiv för Matematik, 53 (1), 155-175. |
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