On Local Behavior of Holomorphic Functions Along Complex Submanifolds of C^N
Complex Variables
2009-11-13 v3 Functional Analysis
Abstract
In this paper we establish some general results on local behavior of holomorphic functions along complex submanifolds of . As a corollary, we present multi-dimensional generalizations of an important result of Coman and Poletsky on Bernstein type inequalities on transcendental curves in .
Keywords
Cite
@article{arxiv.0708.3449,
title = {On Local Behavior of Holomorphic Functions Along Complex Submanifolds of C^N},
author = {Alexander Brudnyi},
journal= {arXiv preprint arXiv:0708.3449},
year = {2009}
}
Comments
minor changes in the formulation and the proof of Lemma 8.1