CR-invariance of the Steinness index

DOI10.1007/s00209-020-02545-1zbMath1475.32022arXiv1908.01214OpenAlexW3033706754MaRDI QIDQ2663067

Jihun Yum

Publication date: 15 April 2021

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

Full work available at URL: https://arxiv.org/abs/1908.01214

zbMATH Keywords

Diederich-Fornæss indexD'Angelo 1-formSteinness indexCR-invariance

Mathematics Subject Classification ID

CR manifolds as boundaries of domains (32V15) Geometric and analytic invariants on weakly pseudoconvex boundaries (32T27) Plurisubharmonic exhaustion functions (32U10)

Related Items

The core of the Levi distribution ⋮ Semi-continuity of the Diederich–Fornaess and Steinness indices ⋮ Diederich-Fornæss and Steinness indices for abstract CR manifolds ⋮ On competing definitions for the Diederich-Fornæss index

Cites Work

• De Rham cohomology of manifolds containing the points of infinite type, and Sobolev estimates for the \(\bar \partial\)-Neumann problem
• Pseudoconvex domains: An example with nontrivial nebenhuelle
• Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions
• Finite type conditions for real hypersurfaces
• Lectures on the \(L^2\)-Sobolev theory of the \(\bar\partial\)-Neumann problem
• The Diederich-Fornæss index. I: For domains of non-trivial index
• On the Steinness index
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