期刊论文详细信息
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 卷:426
Two results on composition operators on the Dirichlet space
Article
Li, Daniel1,2  Queffelec, Herve3,4  Rodriguez-Piazza, Luis5,6 
[1] Univ Lille Nord France, U Artois, Lab Math Lens EA 2462, F-62300 Lens, France
[2] Fac Sci Jean Perrin, Federat CNRS Nord Pas de Calais FR 2956, F-62300 Lens, France
[3] Univ Lille Nord France, USTL, Lab Paul Painleve UMR CNRS 8524, F-59655 Villeneuve Dascq, France
[4] Federat CNRS Nord Pas de Calais FR 2956, F-59655 Villeneuve Dascq, France
[5] Univ Seville, Fac Matemat, Dept Anal Matemat, E-41080 Seville, Spain
[6] IMUS, Seville 41080, Spain
关键词: Approximation numbers;    Carleson embedding;    Composition operator;    Cusp map;    Dirichlet space;   
DOI  :  10.1016/j.jmaa.2015.01.062
来源: Elsevier
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【 摘 要 】

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 7, of self-maps of the disk all of whose powers are norm-bounded in D. (C) 2015 Elsevier Inc. All rights reserved.

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