A local expression of the Diederich-Fornaess exponent and the exponent of conformal harmonic measures

DOI10.1007/s00574-015-0084-zzbMath1343.32024arXiv1403.3179OpenAlexW3101161708MaRDI QIDQ2343142

Masanori Adachi

Publication date: 4 May 2015

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.3179

zbMATH Keywords

normal bundleDiederich-Fornaess exponentLevi-flat hypersurfacesconformal harmonic measure

Mathematics Subject Classification ID

CR manifolds as boundaries of domains (32V15) Geometric and analytic invariants on weakly pseudoconvex boundaries (32T27)

Related Items (9)

A CR Proof for a Global Estimate of the Diederich–Fornaess Index of Levi-Flat Real Hypersurfaces ⋮ The Diederich-Fornaess index and the regularities on the \bar{\partial}-Neumann problem ⋮ On weighted Bergman spaces of a domain with Levi-flat boundary II. ⋮ Bounded plurisubharmonic exhaustion functions and Levi-flat hypersurfaces ⋮ Curvature restrictions for Levi-flat real hypersurfaces in complex projective planes ⋮ Diederich-Fornæss and Steinness indices for abstract CR manifolds ⋮ On weighted Bergman spaces of a domain with Levi-flat boundary ⋮ The Diederich-Fornæss index. I: For domains of non-trivial index ⋮ On the normal bundle of Levi-flat real hypersurfaces

Cites Work

• Oka's lemma, convexity, and intermediate positivity conditions
• Riemann surface laminations with singularities
• On the smoothness of Levi-foliations
• Pseudoconvex domains: An example with nontrivial nebenhuelle
• Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions
• On the ampleness of positive CR line bundles over Levi-flat manifolds
• The strong Oka's lemma, bounded plurisubharmonic functions and the \(\overline\partial\)-Neumann problem
• On the displacement rigidity of Levi flat hypersurfaces -- the case of boundaries of disc bundles over compact Riemann surfaces
• Conformal harmonic measures and foliations of the complex projective plane.
• A global estimate for the Diederich-Fornaess index of weakly pseudoconvex domains
• Hypersurfaces Levi-plates immergées dans les surfaces complexes de courbure positive☆
• On the dynamics of codimension one holomorphic foliations with ample normal bundle
• Bounded p.s.h. functions and pseudoconvexity in Kähler manifold
• On the Complement of Levi-Flats in Kähler Manifolds of Dimension ≥ 3

This page was built for publication: A local expression of the Diederich-Fornaess exponent and the exponent of conformal harmonic measures