Monotonicity of Subelliptic Estimates on Rigid Pseudoconvex Domains

2008/04/17 by Jae-Seong Cho, Cho, Jae-Seong
Mathematics · #32W05 #35N15 #Algebraic and Geometric Analysis #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #math.CV #msc:32W05 #msc:35N15

paper · pdf · doi:10.48550/arxiv.0804.2842

11 pages, submitted

openalex publication_date 2008/04/17 · arxiv created 2008/10/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper presents monotonicity of subelliptic estimates on rigid pseudoconvex domains. As an application of monotonicity, we will show that if a rigid monomial domain is of finite type in the D'Angelo's sense, then the sharp subelliptic estimate of this domain equals the reciprocal of the type.

Citations

• Equivalence of types and Catlin boundary systems

Related

• Algorithms for subelliptic multipliers in ℂ²
• Superlogarithmic estimates on pseudoconvex domains and CR manifolds
• Subellipticity of the ∂-Neumann problem on a weakly q-pseudoconvex/concave domain
• Effective Termination of Kohn's Algorithm for Subelliptic Multipliers
• Sharp subelliptic estimates in the ∂-Neumann problem via an uncertainty principle