Non-compactness of the Neumann operator on the Heisenberg ball

DOI10.1080/17476933.2013.819569zbMath1290.32037arXiv1302.0807OpenAlexW2029298272MaRDI QIDQ5419446

Robert K. Hladky

Publication date: 6 June 2014

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1302.0807

zbMATH Keywords

compact operatorKohn Laplaciantangential Cauchy-Riemann operatorsub-elliptic operator

Mathematics Subject Classification ID

Analysis on CR manifolds (32V20) Subelliptic equations (35H20) (overlinepartial_b) and (overlinepartial_b)-Neumann operators (32W10)

Cites Work

• L\({}^ 2\) existence theorems for the \({\bar \partial}_ b\)-Neumann problem on strongly pseudoconvex CR manifolds
• Boundary regularity for the \(\overline{\partial}_b\)-Neumann problem. II
• Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
• The \(\overline{\partial_b}\)-Neumann problem on noncharacteristic domains
• Boundary regularity for the \(\overline{\partial}_b\)-Neumann problem. I
• 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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