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On growth of holomorphic embeddings into C2

Published online by Cambridge University Press:  12 July 2007

Josip Globevnik
Josip Globevnik
Affiliation:
Institute of Mathematics, Physics and Mechanics, University of Ljubljana, 19 Jadranska, Ljubljana, Slovenia (josip.globevnik@fmf.uni-lj.si)
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Abstract

Let be the open unit disc in C. It is proved that a holomorphic embedding f : C2 can grow arbitrarily fast near b. It is also proved that a holomorphic embedding f : C C2 can grow arbitrarily fast near infinity.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 132 , Issue 4 , August 2002 , pp. 879 - 889
Copyright
Copyright © Royal Society of Edinburgh 2002

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