Note on the Global Regularity for th ∂-Equation
Let Ω be a bounded pseudoconvex domain in Cn with smooth boundary. The purpose of this paper is to give another proof of the following well known Kohn's global regularity theorem: THEOREM. Suppose that a ∈C∞ (0, q) (Ω) is a smooth (0, q) -form with ∂a = 0. Then there is a smooth solution v ∈C∞ (0, q-1) (Ω) to the equation ∂v = a. The proof proceeds for the most part along the proof of Kohn. Instead of the estimate obtained by Kohn, we use the estimate obtained by Catlin.
identifier:長崎大学教育学部自然科学研究報告. vol.54, p.1-6; 1996
|Date|| Issued 1996-02-29
|NIItype||departmental bulletin paper|
|Identifier|| URI http://hdl.handle.net/10069/32156