Iterates of holomorphic self-maps on pseudoconvex domains of finite and infinite type in ℂⁿ

Khanh, Tran Vu; Thu, Ninh

doi:10.1090/proc/13138

Iterates of holomorphic self-maps on pseudoconvex domains of finite and infinite type in $\mathbb C^n$
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by Tran Vu Khanh and Ninh Van Thu PDF

Proc. Amer. Math. Soc. 144 (2016), 5197-5206 Request permission

Abstract:

Using the lower bounds on the Kobayashi metric established by the first author, we prove a Wolff-Denjoy-type theorem for a very large class of pseudoconvex domains in $\mathbb {C}^n$. This class includes many pseudoconvex domains of finite type and infinite type.

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