1983/01/01 by David Catlin · 2 citations
Mathematics · #Holomorphic and Operator Theory #Algebraic and Geometric Analysis #Advanced Harmonic Analysis Research
paper · doi:10.2307/2006974
openalex publication_date 1983/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2025/11/06
Let a be a a-closed form of type (p, q) with L2-coefficients on a smoothly bounded domain Q in C'. The problem of determining both the existence and regularity properties of the solution u of au = a, where u is orthogonal to the null space of a on (p, q l)-forms, is known as the a-Neumann problem. One of the principal methods used in the investigation of this problem is the proof of certain a priori subelliptic estimates. Let U be a neighborhood of a point z0 in the boundary of Q. A subelliptic estimate is said to hold in U if the estimate