Propagation of holomorphic extendibility and non-hypoellipticity of the \(\bar \partial\)-Neumann problem in an exponentially degenerate boundary

DOI10.1016/j.aim.2012.03.016zbMath1246.32011OpenAlexW2110968072MaRDI QIDQ436134

Giuseppe Zampieri, Luca Baracco, Tran Vu Khanh

Publication date: 30 July 2012

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2012.03.016

zbMATH Keywords

\(\bar \partial\)-Neumann problemanalytic discs with singular boundarypropagation of holomorphic extendibility

Mathematics Subject Classification ID

(q)-convexity, (q)-concavity (32F10) Finite-type domains (32T25) (overlinepartial_b) and (overlinepartial_b)-Neumann operators (32W10)

Related Items

L^p estimates for the $\bar\partial$-equation on a class of infinite type domains ⋮ Propagation of CR extendibility at the vertex of a complex sector ⋮ Hypoellipticity of the Kohn-Laplacian \(\square_b\) and of the \(\bar{\partial}\)-Neumann problem by means of subelliptic multipliers

Cites Work

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• Necessary geometric and analytic conditions for general estimates in the \(\overline{\partial}\)-Neumann problem
• A criterion for hypoellipticity of second order differential operators
• Propagation of holomorphic extendability of CR functions
• Thin discs and a Morera theorem for CR functions
• Extension of CR-functions on wedges
• Superlogarithmic estimates on pseudoconvex domains and CR manifolds.
• Rays condition and extension of CR functions from manifolds of higher type
• HYPOELLIPTICITY OF THE KOHN LAPLACIAN FOR THREE-DIMENSIONAL TUBULAR CAUCHY–RIEMANN STRUCTURES
• ON A CRITERION FOR HYPOELLIPTICITY

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