Local inequalities for plurisubharmonic functions

• 成果类型: Article
• 署名作者: Brudnyi, A
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.2307/120973
• 发表日期: 1999
• 页码: 511-533
• 关键词: algebraic-functions

摘要

The main objective of this paper is to prove a new inequality for plurisubharmonic functions estimating their supremum over a ball by their supremum over a measurable subset of the ball. We apply this result to study local properties of polynomial, algebraic and analytic functions. The paper has much in common with an earlier paper [Br] of the author.