\(C^k\) estimates for \(\bar{\partial}_b\) on convex finite type domains in \(\mathbb C^n\)

DOI10.1016/j.crma.2004.01.005zbMath1066.32007OpenAlexW1964136864MaRDI QIDQ1426622

William Alexandre

Publication date: 15 March 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2004.01.005

zbMATH Keywords

\(\overline\partial_b\) equation

Mathematics Subject Classification ID

Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) (overlinepartial_b) and (overlinepartial_b)-Neumann operators (32W10)

Cites Work

• Support functions for convex domains of finite type
• Hölder estimates on convex domains of finite type
• \(C^k\) estimates for convex domains of finite type in \(\mathbb{C}^n\)
• THE LEWY EQUATION AND ANALYSIS ON PSEUDOCONVEX MANIFOLDS