On Local Behavior of Holomorphic Functions Along Complex Submanifolds of C^N
arXiv:0708.3449 · doi:10.1007/s00222-008-0120-3
Abstract
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 $\Co^{2}$.
minor changes in the formulation and the proof of Lemma 8.1