2010/07/05 by Emil J. Sträube, Straube, Emil J.
Mathematics · #32 #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Complex Variables (math.CV) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory
paper · pdf · doi:10.48550/arxiv.1007.0775
openalex publication_date 2010/07/05 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28
We establish compactness estimates for \\∂b on a compact\npseudoconvex CR-submanifold of \ℂn of hypersurface type that\nsatisfies property(P). When the submanifold is orientable, these estimates were\nproved by A.~Raich via microlocal methods. Our proof deduces the estimates from\n(a slight extension, when q>1, of) those known on hypersurfaces via the fact\nthat locally, CR-submanifolds of hypersurface type are CR-equivalent to a\nhypersurface. The relationship between two potential theoretic conditions is\nalso clarified.\n