global regularity for the ∂-b-equation on cr manifolds of arbitrary codimension

global regularity for the ∂-b-equation on cr manifolds of arbitrary codimension

;Shaban Khidr;Osama Abdelkader
science and technology of advanced materials 2014 Vol. 2014 pp. -
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.

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214451
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10.1155/2014/326434
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