Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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GLOBAL SOLUTIONS FOR THE ${\bar{\partial}}$-PROBLEM ON NON PSEUDOCONVEX DOMAINS IN STEIN MANIFOLDS

  • Saber, Sayed (Mathematics Department Faculty of Science Beni-Suef University)
  • Received : 2016.10.15
  • Accepted : 2017.03.07
  • Published : 2017.11.01
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Abstract

In this paper, we prove basic a priori estimate for the ${\bar{\partial}}$-Neumann problem on an annulus between two pseudoconvex submanifolds of a Stein manifold. As a corollary of the result, we obtain the global regularity for the ${\bar{\partial}}$-problem on the annulus. This is a manifold version of the previous results on pseudoconvex domains.

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References

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