Global Regularity for the ∂-b‐Equation on CR Manifolds of Arbitrary Codimension

Shaban Khidr and Osama Abdelkader

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

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 11≤s≤n-l-, we prove an L2‐existence theorem and global regularity for the solutions of the tangential Cauchy‐Riemann equation for (0, s)‐forms on M.

Date: 2014
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https://doi.org/10.1155/2014/326434

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:326434

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