Compactness estimates for $\Box_{b}$ on a CR manifold

DOI10.1090/S0002-9939-2012-11190-6zbMath1300.32036arXiv1101.0017OpenAlexW1547951861MaRDI QIDQ2845748

Tran Vu Khanh, Giuseppe Zampieri, Stefano Pinton

Publication date: 3 September 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.0017

zbMATH Keywords

CR manifoldKohn Laplaciancompactness estimate

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Finite-type domains (32T25) (overlinepartial_b) and (overlinepartial_b)-Neumann operators (32W10)

Related Items (9)

Global real analyticity of the Kohn-Laplacian on pseudoconvex CR manifolds with comparable Levi form ⋮ Geometric sufficient conditions for compactness of the complex Green operator ⋮ L2-Sobolev theory for the complex Green operator ⋮ The Kohn-Laplace equation on abstract CR manifolds: Global regularity ⋮ The complex green operator with Sobolev estimates up to a finite order ⋮ Propagation of CR extendibility at the vertex of a complex sector ⋮ Compactness of the complex Green operator on non-pseudoconvex CR manifolds ⋮ Fractional powers of vector operators with first order boundary conditions ⋮ A geometric approach to Catlin's boundary systems

Cites Work

• The \(\bar{\partial}_p\) equation on weakly pseudo-convex CR manifolds of dimension 3
• Compactness of the complex Green operator on CR-manifolds of hypersurface type
• Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
• Subellipticity of the \(\overline\partial\)-Neumann problem on pseudo- convex domains: sufficient conditions
• Superlogarithmic estimates on pseudoconvex domains and CR manifolds.
• Compactness of the complex Green operator
• Global regularity for \(\bar{\partial}_b\) on weakly pseudoconvex CR manifolds
• The complex Green operator on CR-submanifolds of $\mathbb{C}^{n}$ of hypersurface type: Compactness
• Estimates for regularity of the tangential \documentclass{article}\usepackage{amssymb,amsmath}\begin{document}\pagestyle{empty}$\bar{\partial }$\end{document}-system
• Non‐coercive boundary value problems
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)

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