Defining functions for unbounded \(C^m\) domains

DOI10.4171/RMI/762zbMath1288.26008arXiv1111.4177OpenAlexW2963812754MaRDI QIDQ2436065

Phillip S. Harrington, Andrew S. Raich

Publication date: 21 February 2014

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.4177

zbMATH Keywords

unbounded domainssigned distance functiondefining functionuniformly \(C^m\) defining function

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Convexity of real functions of several variables, generalizations (26B25) Strongly pseudoconvex domains (32T15)

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Closed range estimates for \(\bar{\partial}_b\) on CR manifolds of hypersurface type ⋮ Strong closed range estimates: necessary conditions and applications ⋮ Closed range of \(\overline{\partial}\) in \(L^{2}\)-Sobolev spaces on unbounded domains in \(\mathbb{C}^n\) ⋮ Bounded plurisubharmonic exhaustion functions for Lipschitz pseudoconvex domains in \(\mathbb {CP}^n\) ⋮ Hartogs domains and the Diederich-Fornæss index ⋮ On competing definitions for the Diederich-Fornæss index ⋮ Closed range of \(\overline \partial\) on unbounded domains in \(\mathbb{C}^n\)

Cites Work

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• Elliptic partial differential equations of second order
• Curvature Measures