Comptes Rendus
no. 10
Functional analysis/Dynamical systems
Disjoint mixing linear fractional composition operators in the unit ball
[Mélange disjoint d'opérateurs de composition linéaires fractionnaires dans la boule unité]

Présenté par : the Editorial Board

Zhong-Shan Fang1 ; Ze-Hua Zhou2, 3
1 Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, PR China
2 Department of Mathematics, Tianjin University, Tianjin 300072, PR China
3 Center for Applied Mathematics, Tianjin University, Tianjin 300072, PR China
Comptes Rendus. Mathématique, Volume 353 (2015) no. 10, pp. 937-942.

Dans la présente note, nous étudions la propriété de mélange disjoint pour un nombre fini d'opérateurs de composition linéaires fractionnaires agissant sur l'espace des fonctions holomorphes sur la boule unité de CN, et nous généralisons une partie des résultats obtenus par Bès, Martin et Peris en 2011.

In the present paper, we investigate the disjoint mixing property of finitely many linear fractional composition operators acting on the space of holomorphic functions on the unit ball in CN, and generalize parts of the results obtained by Bès, Martin and Peris in 2011.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2015.07.005
Zhong-Shan Fang 1 ; Ze-Hua Zhou 2, 3

1 Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, PR China
2 Department of Mathematics, Tianjin University, Tianjin 300072, PR China
3 Center for Applied Mathematics, Tianjin University, Tianjin 300072, PR China 
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Zhong-Shan Fang; Ze-Hua Zhou. Disjoint mixing linear fractional composition operators in the unit ball. Comptes Rendus. Mathématique, Volume 353 (2015) no. 10, pp. 937-942. doi : 10.1016/j.crma.2015.07.005. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2015.07.005/

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[11] L. Jiang; C. Ouyang Cyclic behavior of linear fractional composition operators in the unit ball of CN, J. Math. Anal. Appl., Volume 341 (2008), pp. 601-612

[12] T. Ohsawa Analysis of Several Complex Variables, Translations of Mathematical Monographs, Amer. Math. Soc., 2002

[13] J.H. Shapiro Composition Operators and Classical Function Theory, Springer-Verlag, New York, 1993

[14] B. Yousefi; H. Rezaei Hypercyclic property of weighted composition operators, Proc. Amer. Math. Soc., Volume 135 (2007) no. 10, pp. 3263-3271

Cité par Sources :

☆ The work was supported in part by the National Natural Science Foundation of China (Grant Nos. 11371276; 11401431) and by Tianjin City High School Science and Technology Fund Planning Project (Grant No. 20141002).

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