The Diederich-Fornaess index and the global regularity of the \(\bar \partial\)-Neumann problem

DOI10.1007/s00209-013-1188-zzbMath1295.32052arXiv1108.3598OpenAlexW2066294788MaRDI QIDQ2636978

Giuseppe Zampieri, Stefano Pinton

Publication date: 18 February 2014

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.3598

zbMATH Keywords

\(q\)-convex domainsBergman projection\(\overline{\partial}\)-Neumann operatorSobolev estimatesDiederich-Fornæss index

Mathematics Subject Classification ID

(q)-convexity, (q)-concavity (32F10) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

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The Kohn-Laplace equation on abstract CR manifolds: Global regularity ⋮ Hartogs domains and the Diederich-Fornæss index ⋮ Geometric Analysis on the Diederich-Forn{\ae}ss Index ⋮ Bounded plurisubharmonic exhaustion functions and Levi-flat hypersurfaces ⋮ On weighted Bergman spaces of a domain with Levi-flat boundary ⋮ Fractional powers of vector operators with first order boundary conditions ⋮ The Diederich-Fornaess index and good vector fields ⋮ On competing definitions for the Diederich-Fornæss index ⋮ The Diederich-Fornæss exponent and non-existence of Stein domains with Levi-flat boundaries

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