Open AccessNon-autonomous basins with uniform bounds are elliptic
Author(s) -
John Erik Fornæss,
Erlend Fornæss Wold
Publication year - 2016
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/proc/12476
Subject(s) - holomorphic function , bounded function , annotation , semantics (computer science) , algorithm , function (biology) , manifold (fluid mechanics) , computer science , mathematics , artificial intelligence , pure mathematics , mathematical analysis , programming language , biology , mechanical engineering , evolutionary biology , engineering
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 C m \mathbb {C}^m into it, and in particular it does not carry a non-constant bounded plurisubharmonic function.