global regularity for the ∂-b-equation on cr manifolds of arbitrary codimension
;Shaban Khidr;Osama Abdelkader
science and technology of advanced materials2014Vol. 2014pp. -
126
khidr2014abstractglobal
Abstract
Let M be a C∞ compact CR manifold of CR-codimension l≥1 and CR-dimension n-l in a complex manifold X of complex dimension n≥3. In this paper, assuming that M satisfies condition Y(s) for some s with 1≤s≤n-l-1, we prove an L2-existence theorem and global regularity for the solutions of the tangential Cauchy-Riemann equation for (0,s)-forms on M.