Non-autonomous basins with uniform bounds are elliptic | Zendy

John Erik Fornæss | Zendy; Erlend Fornæss Wold | Zendy

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Non-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.

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