The explicit solutions of \(C_{p,q}^{k+\alpha}\)-form for the \(\overline{\partial}\)-equations on pseudoconvex open sets

DOI10.1007/BF02015134zbMath0884.32014MaRDI QIDQ1367245

Zhongtai Ma

Publication date: 21 September 1997

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

Cauchy-Riemann equationsLevi formpseudoconvex domains\(\overline\partial\) problem

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Cites Work

• Integral solution operators for the Cauchy-Riemann equations on pseudoconvex domains
• Sup-norm estimates for \({\bar\partial}\) in \({\mathbb{C}}^ 2\)
• Hölder estimates on domains of complex dimension two and on three- dimensional CR manifolds
• Henkin-Ramirez kernels with weight factors
• Solutions de l'équation \(\bar\partial\) et zéros de la classe de Nevanlinna dans certains domaines faiblement pseudo-convexes
• Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions
• Regularity Properties of the ∂ b Equation on Weakly Pseudoconvex CR Manifolds of Dimension 3