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 α the complex angle of A at p. Propagation takes place if and only if \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\alpha >\frac{1}{k}$\end{document}.