Functional analysis/Complex analysis
Dynamics of weighted composition operators in the unit ball

Presented by: the Editorial Board

Fang, Zhong-Shan1; Zhou, Ze-Hua2
1 Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, PR China
2 School of Mathematics, Tianjin University, Tianjin 300354, PR China
Comptes Rendus. Mathématique, Volume 357 (2019) no. 3, pp. 278-283.

In the present paper, we investigate the dynamic behavior of weighted composition operators acting on the space of holomorphic functions on the unit ball in CN.

Nous étudions dans cette Note le comportement dynamique des opérateurs de composition pondérés agissant sur l'espace des fonctions holomorphes sur la boule unité de CN.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2019.02.003
Fang, Zhong-Shan 1; Zhou, Ze-Hua 2

1 Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, PR China
2 School of Mathematics, Tianjin University, Tianjin 300354, PR China 
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Fang, Zhong-Shan; Zhou, Ze-Hua. Dynamics of weighted composition operators in the unit ball. Comptes Rendus. Mathématique, Volume 357 (2019) no. 3, pp. 278-283. doi : 10.1016/j.crma.2019.02.003. http://archive.numdam.org/articles/10.1016/j.crma.2019.02.003/

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[3] Cowen, C.C.; MacCluer, B.D. Composition Operators on Spaces of Analytic Functions, CRC Press, Boca Raton, FL, USA, 1995

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

[8] Zajac, S. Hypercyclicity of composition operators in Stein manifolds, Proc. Amer. Math. Soc., Volume 144 (2016) no. 9, pp. 3991-4000

Cited by Sources:

☆ The work was supported in part by the National Natural Science Foundation of China (Grant No. 11771323), and also supported in part by the Science and Technology Development Fund of Tianjin Commission for Higher Education (Grant No. 2017KJ095).