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 $\bar{\partial }$-Neumann problem. These estimates are established under the assumption that subellipticity degenerates in certain specified ways.

36 pages published version