Pluricapacity and approximation numbers of composition operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:474

Article

Li, Daniel^1,2  Queffelec, Herve^3,4  Rodriguez-Piazza, Luis^5,6 

[1] Univ Artois, LML, EA 2462, Rue Jean Souvraz,SP 18, F-62300 Lens, France

[2] Fac Jean Perrin, Federat CNRS Nord Pas de Calais FR 2956, Rue Jean Souvraz,SP 18, F-62300 Lens, France

[3] Univ Lille Nord France, USTL, Lab Paul Painleve, CNRS,UMR 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, Calle Tarfia S-N, E-41012 Seville, Spain

[6] IMUS, Calle Tarfia S-N, E-41012 Seville, Spain

关键词: Approximation numbers;    Composition operator;    Hardy space;    Hyperconvex domain;    Monge-Ampere capacity;    Zakharyuta conjecture;   

DOI  :  10.1016/j.jmaa.2019.02.041

来源: Elsevier

【 摘 要 】

For suitable bounded hyperconvex sets Omega in C-N, in particular the ball or the polydisk, we give estimates for the approximation numbers of composition operators C-phi: H-2 (Omega) -> H-2(Omega) when phi(Omega) is relatively compact in Omega, involving the Monge-Ampere capacity of phi(Omega). (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

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