Propagation of CR extendibility at the vertex of a complex sector

Abstract

We study propagation of CR extendibility at the vertex $p$ of an analytic sector $A$ contained in a CR manifold $M$. Let $k$ be the weighted vanishing order of $M$ and $\alpha$ the complex angle of $A$ at $p$. Propagation takes place if and only if $\alpha >\frac{1}{k}$.

References in corpus (1)

• Propagation of regularity for solutions of the Kohn Laplacian in a flat boundary