Equivalence of Diederich-Fornæss indices: upper semi-continuous equals Lipschitz, and C^k equals C^2 when the boundary is C^k for k≥2.
The Diederich--Forn\ae ss index and the regularities on the $\bar{\partial}$-Neumann problem
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abstract
We show, under an assumption on the weakly pseudoconvex points, the trivial Diederich--Forn\ae ss index directly implies the global regularities of the $\bar{\partial}$-Neumann operators.
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math.CV 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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On Competing Definitions for the Diederich-Forn{\ae}ss Index
Equivalence of Diederich-Fornæss indices: upper semi-continuous equals Lipschitz, and C^k equals C^2 when the boundary is C^k for k≥2.