Article
Two results on composition operators on the Dirichlet space
Alternative title | Two remarks on composition operators on the Dirichlet space |
Author/s | Li, Daniel
Queffélec, Hervé Rodríguez Piazza, Luis |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2015-06-15 |
Deposit Date | 2018-02-05 |
Published in |
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Abstract | We show that the decay of approximation numbers of compact composition
operators on the Dirichlet space D can be as slow as we wish. We also
prove the optimality of a result of O. El-Fallah, K. Kellay, M. Shabankhah ... We show that the decay of approximation numbers of compact composition operators on the Dirichlet space D can be as slow as we wish. We also prove the optimality of a result of O. El-Fallah, K. Kellay, M. Shabankhah and H. Youssfi on boundedness on D of self-maps of the disk all of whose powers are norm-bounded in D. |
Funding agencies | Ministerio de Economía y Competitividad (MINECO). España |
Project ID. | MTM 2012-05622 |
Citation | Li, D., Queffélec, H. y Rodríguez Piazza, L. (2015). Two results on composition operators on the Dirichlet space. Journal of Mathematical Analysis and Applications, 426 (2), 734-746. |
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