Regularity of \(\overline\partial_b\) complex on nondegenerate Cauchy-Riemann manifolds

DOI10.1007/BF02881882zbMath1005.32025OpenAlexW962116577MaRDI QIDQ1609659

Wei Wang

Publication date: 15 August 2002

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02881882

zbMATH Keywords

parametrix\(\overline\partial_b\) complexintegral operator of \(l\) typeKohn Laplacian \(\square_b\)nilpotent Lie group of step two

Mathematics Subject Classification ID

Parametrices in context of PDEs (35A17) Analysis on CR manifolds (32V20) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15) (overlinepartial_b) and (overlinepartial_b)-Neumann operators (32W10)

Related Items (1)

The Yamabe problem on quaternionic contact manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Hypoelliptic differential operators and nilpotent groups
• Complex Hamiltonian mechanics and parametrices for subelliptic Laplacians. I
• Necessary and sufficient conditions for the local solvability in hyperfunctions of a class of systems of complex vector fields
• The Green function of model step two hypoelliptic operators and the analysis of certain tangential Cauchy Riemann complexes
• On the extension of holomorphic functions from the boundary of a complex manifold
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• Homotopy formulas in the tangential Cauchy-Riemann complex
• Sur la propagation des singularités dans les variétés CR
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group

This page was built for publication: Regularity of \(\overline\partial_b\) complex on nondegenerate Cauchy-Riemann manifolds