Sharp Lipschitz estimates for operator \(\overline\partial_ M\) on a \(q\)-pseudoconcave CR manifold.

DOI10.1007/BF02930863zbMath1039.32047arXivmath/0012250OpenAlexW2317955504MaRDI QIDQ1608525

Peter L. Polyakov

Publication date: 8 August 2002

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

Full work available at URL: https://arxiv.org/abs/math/0012250

zbMATH Keywords

\(\overline\partial_M\)\(q\)-pseudoconcave CR manifold

Mathematics Subject Classification ID

Integral operators (47G10) (q)-convexity, (q)-concavity (32F10) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) CR manifolds (32V99)

Related Items

Poincaré lemma and global homotopy formulas with sharp anisotropic Hölder estimates in \(q\)-concave CR manifolds ⋮ Global homotopy formulas on \(q\)-concave CR manifolds for small degrees

Cites Work

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• Residue integral formulas and the Radon transform for differential forms on q-linearly concave domains
• Sharp estimates for the operator \(\overline{\partial}_M\) on a \(q\)-concave CR-manifold
• 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
• Localization principle for differential complexes and its application
• Integral representations of differential forms on Cauchy-Riemann manifolds and the theory of CR-functions
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• H. LEWY'S EQUATION AND ANALYSIS ON A PSEUDOCONVEX MANIFOLD. II
• Singular integrals and estimates for the Cauchy-Riemann equations

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