Boundary regularity for the \(\overline{\partial}_b\)-Neumann problem. I

DOI10.1007/BF02930989zbMath1123.32022OpenAlexW2333162288MaRDI QIDQ2434063

Robert K. Hladky

Publication date: 31 October 2006

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02930989

zbMATH Keywords

uniform estimatesboundary regularitycharacteristic points

Mathematics Subject Classification ID

Embeddings of CR manifolds (32V30) CR structures, CR operators, and generalizations (32V05) Subelliptic equations (35H20) (overlinepartial_b) and (overlinepartial_b)-Neumann operators (32W10)

Related Items (1)

Non-compactness of the Neumann operator on the Heisenberg ball

Cites Work

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• L\({}^ 2\) existence theorems for the \({\bar \partial}_ b\)-Neumann problem on strongly pseudoconvex CR manifolds
• Strongly pseudoconvex CR structures over small balls. III: An embedding theorem
• Intrinsic CR normal coordinates and the CR Yamabe problem
• Boundary regularity of a canonical solution of the \(\bar\partial{}_ b\) problem
• Pseudo-hermitian structures on a real hypersurface
• Elliptic partial differential equations of second order
• Strongly pseudoconvex CR structures over small balls. I: An a priori estimate
• Strongly pseudoconvex CR structures over small balls. II: A regularity theorem
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group

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