Title of article
Unifying the little Picard, Lohwater–Pommerenke and Brody theorems
Author/Authors
Myung H. Kwack، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2007
Pages
14
From page
302
To page
315
Abstract
A theorem unifying the theorems of little Picard, Lohwater–Pommerenke and Brody is presented: Let
M,Y be complex spaces. Then a family of holomorphic maps F ⊂H(M,Y ) is uniformly normal iff every
F-limiting curve is trivial. Furthermore, Zalcman’s lemma and the Robinson–Zalcman Heuristic Principle
are ‘extended.’
© 2006 Elsevier Inc. All rights reserved
Keywords
Robinson–Zalcman principle , Normal , Little Picard , hyperbolic , Lohwater–Pommerenke , Uniformly normal
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2007
Journal title
Journal of Mathematical Analysis and Applications
Record number
935443
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