On local behavior of holomorphic functions along complex submanifolds of CN supercript stop

• 成果类型: Article
• 署名作者: Brudnyi, Alexander
• 署名单位: University of Calgary
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-008-0120-3
• 发表日期: 2008
• 页码: 315-363
• 关键词: INEQUALITIES; sets; extension; ahlfors

摘要

In this paper we establish some general results on local behavior of holomorphic functions along complex submanifolds of C-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 C-2.