On Local Behavior of Holomorphic Functions Along Complex Submanifolds of C^N

Details On Local Behavior of Holomorphic Functions Along Complex Submanifolds of C^N On Local Behavior of Holomorphic Functions Along Complex Submanifolds of C^N

2007-08-25

arxiv.org/abs/0708.3449v3

Mathematics

Complex Variables

minor changes in the formulation and the proof of Lemma 8.1

Scientific paper

10.1007/s00222-008-0120-3

In this paper we establish some general results on local behavior of
holomorphic functions along complex submanifolds of $\Co^{N}$. As a corollary,
we present multi-dimensional generalizations of an important result of Coman
and Poletsky on Bernstein type inequalities on transcendental curves in
$\Co^{2}$.

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