Non-autonomous basins with uniform bounds are elliptic

Fornæss, John; Wold, Erlend

doi:10.1090/proc/12476

Non-autonomous basins with uniform bounds are elliptic
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by John Erik Fornæss and Erlend Fornæss Wold PDF

Proc. Amer. Math. Soc. 144 (2016), 4709-4714 Request permission

Abstract:

We prove that a non-autonomous basin with bounds is an Oka manifold. A consequence is that it has an abundance of holomorphic maps from $\mathbb {C}^m$ into it, and in particular it does not carry a non-constant bounded plurisubharmonic function.

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