2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72899This paper is concerned with proving superlogarithmic estimates for the operator $\Box_b$ on pseudoconvex CR manifolds and using them to establish hypoellipticity of $\Box_b$ and of the $\bar{\partial}$-Neumann problem. These estimates are established under the assumption that subellipticity degenerates in certain specified ways.36 pages published versionComplex Variables32W10 (primary) 32V15, 32W05, 35H10, 35N15 (secondary)Superlogarithmic estimates on pseudoconvex domains and CR manifoldstext