Sharp estimates for the operator \(\overline{\partial}_M\) on a \(q\)-concave CR-manifold

DOI10.1007/BF02921601zbMath0909.32005OpenAlexW2326668818MaRDI QIDQ1387673

Peter L. Polyakov

Publication date: 10 August 1998

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

Full work available at URL: https://doi.org/10.1007/bf02921601

zbMATH Keywords

differential formsintegral representations\( \overline{\partial } \)-operator\(q\)-concave-CR-manifold

Mathematics Subject Classification ID

(q)-convexity, (q)-concavity (32F10) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) CR manifolds (32V99)

Related Items

Global homotopy formulas on \(q\)-concave \(CR\) manifolds for large degrees ⋮ Boundary Hölder and $L^p$ estimates for local solutions of the tangential Cauchy-Riemann equation ⋮ Global homotopy formulas on \(q\)-concave CR manifolds for small degrees ⋮ Fundamental solutions and optimal estimates for the tangential Cauchy-Riemann operator ⋮ On Polyakov's notion of regular \(q\)-concave CR manifolds. ⋮ Sharp Lipschitz estimates for operator \(\overline\partial_ M\) on a \(q\)-pseudoconcave CR manifold.

Cites Work

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