Hartogs domains and the Diederich-Fornæss index
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Publication:2008345
DOI10.1215/00192082-7937302zbMath1440.32015arXiv1809.02662OpenAlexW2991062190MaRDI QIDQ2008345
Phillip S. Harrington, Muhenned Abdulsahib
Publication date: 25 November 2019
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1809.02662
Geometric and analytic invariants on weakly pseudoconvex boundaries (32T27) Worm domains (32T20) Plurisubharmonic exhaustion functions (32U10)
Related Items (2)
The Diederich-Fornaess index and the regularities on the \bar{\partial}-Neumann problem ⋮ On competing definitions for the Diederich-Fornæss index
Cites Work
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- Global regularity for the \(\bar{\delta}\)-Neumann operator and bounded plurisubharmonic exhaustion functions
- De Rham cohomology of manifolds containing the points of infinite type, and Sobolev estimates for the \(\bar \partial\)-Neumann problem
- Convex defining functions for convex domains
- Sobolev estimates for the \({\bar \partial}\)-Neumann operator on domains in \({\mathbb{C}}^ n\) admitting a defining function that is plurisubharmonic on the boundary
- A note on plurisubharmonic defining functions in \({\mathbb{C}^{n}}\)
- Distance to \(C^k\) hypersurfaces
- Behavior of the Bergman projection on the Diederich-Fornæss worm
- Some conditions for uniform H-convexity
- Pseudoconvex domains: An example with nontrivial nebenhuelle
- Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions
- Domains with pseudoconvex neighborhood systems
- A simplification and extension of Fefferman's theorem on biholomorphic mappings
- The Diederich-Fornæss index. II: For domains of trivial index
- The Bergman kernel and biholomorphic mappings of pseudoconvex domains
- Semi-classical analysis of Schrödinger operators and compactness in the \(\bar\partial\)-Neumann problem
- Regularity of canonical operators and Nebenhülle: Hartogs domains
- 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
- Defining functions for unbounded \(C^m\) domains
- A note on plurisubharmonic defining functions in \(\mathbb{C}^2\)
- Compactness in the \(\overline\partial\)-Neumann problem, magnetic Schrödinger operators, and the Aharonov-Bohm effect
- The Diederich-Fornaess index and the global regularity of the \(\bar \partial\)-Neumann problem
- Strong Stein neighbourhood bases
- Curvature Measures
- The Bergman Projection on Hartogs Domains in C 2
- Geometric Analysis on the Diederich-Forn{\ae}ss Index
- The Diederich-Fornaess index and good vector fields
- Global 𝐶^{∞} irregularity of the ∂̄-Neumann problem for worm domains
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