Some conditions for uniform H-convexity

zbMath0303.32012MaRDI QIDQ1216525

Barnet M. Weinstock

Publication date: 1975

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Domains of holomorphy (32D05) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30)

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Every smoothly bounded \(p\)-convex domain in \(\mathbb{R}^n\) admits a \(p\)-plurisubharmonic defining function ⋮ Holomorphic approximation of ultradifferentiable functions ⋮ Defining functions for unbounded \(C^m\) domains ⋮ Bounded plurisubharmonic exhaustion functions for Lipschitz pseudoconvex domains in \(\mathbb {CP}^n\) ⋮ Convex defining functions for convex domains ⋮ Hartogs domains and the Diederich-Fornæss index ⋮ Holomorphic approximation to boundary value algebras ⋮ 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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