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arxiv: 1906.00315 · v1 · pith:X64QXZ5Snew · submitted 2019-06-02 · 🧮 math.CV · math.AP

The Diederich--Fornae ss index and the regularities on the bar{partial}-Neumann problem

Bingyuan Liu This is my paper
classification 🧮 math.CV math.AP
keywords diederich--fornindexneumannpartialregularitiesassumptiondirectlyglobal
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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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  1. On Competing Definitions for the Diederich-Forn{\ae}ss Index

    math.CV 2019-07 unverdicted novelty 6.0

    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.