Necessary geometric and analytic conditions for general estimates in the (partial derivative)over-bar-Neumann problem

• 成果类型: Article
• 署名作者: Tran Vu Khanh; Zampieri, Giuseppe
• 署名单位: University of Padua
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-011-0360-5
• 发表日期: 2012
• 页码: 729-750
• 关键词: neumann problem; subellipticity; domains

摘要

We show the geometric and analytic consequences of a general estimate in the (partial derivative) over bar -Neumann problem: a gain in the estimate yields a bound in the type of the boundary, that is, in its order of contact with an analytic curve as well as in the rate of the Bergman metric. We also discuss the potential-theoretical consequence: a gain implies a lower bound for the Levi form of a bounded weight.