Solvability of the tangential Cauchy-Riemann equations on boundaries of strictly \(q\)-convex domains

DOI10.1134/S1995080211030115zbMath1254.32054MaRDI QIDQ694415

Sayed Saber

Publication date: 12 December 2012

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

\(q\)-convex domainsKähler manifolds\(\bar \partial _b\) complex

Mathematics Subject Classification ID

Kähler manifolds (32Q15) (q)-convexity, (q)-concavity (32F10) (overlinepartial_b) and (overlinepartial_b)-Neumann operators (32W10)

Cites Work

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• Global boundary regularity for the \(\overline\partial\)-problem on strictly \(q\)-convex and \(q\)-concave domains
• On compact, locally symmetric Kähler manifolds
• \(L^ 2\) estimates and existence theorems for the tangential Cauchy-Riemann complex
• \(C^\infty\)-regularity of solutions of the tangential CR-equations on weakly pseudoconvex manifolds
• On the extension of holomorphic functions from the boundary of a complex manifold
• SOLUTION TO $\overline{\partial}$-EQUATIONS WITH EXACT SUPPORT ON PSEUDO-CONVEX MANIFOLDS
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• INTEGRAL REPRESENTATIONS OF FUNCTIONS HOLOMORPHIC IN STRICTLY PSEUDO-CONVEX DOMAINS AND SOME APPLICATIONS
• VANISHING THEOREMS ON STRONGLY Q-CONVEX MANIFOLDS
• SUR L'ÉQUATION DE CAUCHY–RIEMANN TANGENTIELLE DANS UNE CALOTTE STRICTEMENT PSEUDOCONVEXE

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