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Non-autonomous basins with uniform bounds are elliptic

Authors: John Erik Fornæss and Erlend Fornæss Wold
Journal: Proc. Amer. Math. Soc. 144 (2016), 4709-4714
MSC (2010): Primary 32E30, 32H50
Published electronically: July 21, 2016
MathSciNet review: 3544522
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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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Additional Information

John Erik Fornæss
Affiliation: Department of Mathematics, Norwegian University of Science and Technology, 7491 Trondheim, Norway

Erlend Fornæss Wold
Affiliation: Department of Mathematics, University of Oslo, NO-0316 Oslo, Norway

Received by editor(s): January 15, 2014
Received by editor(s) in revised form: January 30, 2014
Published electronically: July 21, 2016
Additional Notes: The second author is supported by the NRC-grant 209751.
Communicated by: Franc Forstneric
Article copyright: © Copyright 2016 American Mathematical Society

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