Global boundary regularity for the \(\overline\partial\)-problem on strictly \(q\)-convex and \(q\)-concave domains

DOI10.1007/s11785-010-0114-1zbMath1275.32030OpenAlexW2020103879MaRDI QIDQ371741

Sayed Saber

Publication date: 10 October 2013

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-010-0114-1

zbMATH Keywords

Kähler manifolds\(\overline\partial\)-problem\(q\)-convexity\(q\)-concavity

Mathematics Subject Classification ID

Kähler manifolds (32Q15) (q)-convexity, (q)-concavity (32F10) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) (overlinepartial_b) and (overlinepartial_b)-Neumann operators (32W10)

Related Items (2)

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

Cites Work

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• On compact, locally symmetric Kähler manifolds
• Global boundary regularity for the \(\overline\partial\)-equation on \(q\)-pseudoconvex domains.
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• On the extension of holomorphic functions from the boundary of a complex manifold
• Regularity at the boundary for \(\overline \partial\) on \(Q\)-pseudoconvex domains
• Boundary regularity for \(\bar{\partial}\) on \(q\)-pseudoconvex wedges of \(\mathbb C^{N}\)
• Global Regularity for $\overline \partial$ on Weakly Pseudo-Convex Manifolds
• Regularity of \(\overline{\partial}\) on pseudoconcave compacts and applications

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