Superlogarithmic estimates on pseudoconvex domains and CR manifolds

• 成果类型: Article
• 署名作者: Kohn, JJ
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.2307/3597189
• 发表日期: 2002
• 页码: 213-248
• 关键词: hypoellipticity; BOUNDARY

摘要

This paper is concerned with proving superlogarithmic estimates for the operator square(b) on pseudoconvex CR manifolds and using them to establish hypoellipticity of square(b) and of the partial derivative-Neumann problem. These estimates are established under the assumption that subellipticity degenerates in certain specified ways.