Global real analyticity of the Kohn-Laplacian on pseudoconvex CR manifolds with comparable Levi form

DOI10.1007/s11785-016-0570-3zbMath1378.32029OpenAlexW2441227752MaRDI QIDQ1682250

Ly Kim Ha

Publication date: 29 November 2017

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

Full work available at URL: https://doi.org/10.1007/s11785-016-0570-3

zbMATH Keywords

CR-manifoldshypoellipticity\(\square_b\)-operator

Mathematics Subject Classification ID

Analysis on CR manifolds (32V20) (overlinepartial_b) and (overlinepartial_b)-Neumann operators (32W10)

Cites Work

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• \({\bar \partial}\)-problem on weakly \(q\)-convex domains
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• Compactness of the complex Green operator on CR-manifolds of hypersurface type
• Global analytic hypoellipticity of the \({\bar \partial}\)-Neumann problem on circular domains
• Global real analyticity of solutions to the \({\bar \partial}\)-Neumann problem
• Global analyticity of the canonical solution of \(\bar\partial_b\) for a class of pseudoconvex compact hypersurfaces of \(\mathbb{C}^2\)
• The range of the tangential Cauchy-Riemann system to a CR embedded manifold
• Nonelliptic partial differential equations. Analytic hypoellipticity and the courage to localize high powers of T
• Global regularity for \(\bar{\partial}_b\) on weakly pseudoconvex CR manifolds
• On maximal Sobolev and Holder estimates for the tangential Cauchy-Riemann operator and boundary Laplacian
• Compactness estimates for $\Box_{b}$ on a CR manifold
• On stability for difference schemes; a sharp form of gårding's inequality
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)

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