Superlogarithmic estimates on pseudoconvex domains and CR manifolds

Abstract

This paper is concerned with proving superlogarithmic estimates for the operator $\square_b$ on pseudoconvex CR manifolds and using them to establish hypoellipticity of $\square_b$ and of the $\overline\partial$-Neumann problem. These estimates are established under the assumption that subellipticity degenerates in certain specified ways.

Joseph J. Kohn