Regularity of CR-mappings between Fuchsian type hypersurfaces in ${\mathbb{C}}^2$

Abstract

We investigate regularity of CR-mappings between real-analytic infinite type hypersurfaces in ${\mathbb{C}}^2$. We show that, under the Fuchsian type condition, all (respectively formal or smooth) CR-diffeomorphisms between them are automatically analytic. The Fuchsian condition appears to be in a certain sense optimal for the regularity problem.

arXiv admin note: substantial text overlap with arXiv:1811.01649