Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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Lp-ESTIMATES FOR THE ${\bar{\partial}}$-EQUATION WITH EXACT SUPPORT ON q-CONVEX INTERSECTIONS

  • Khidr, Shaban (Mathematics Department Faculty of Science University of Jeddah)
  • Received : 2016.10.28
  • Accepted : 2017.08.04
  • Published : 2018.01.01
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Abstract

We construct bounded linear integral operators that giving solutions to the ${\bar{\partial}}$-equation in $L^p$-spaces and with compact supports on a q-convex intersection ($q{\geq}1$) with ${\mathcal{C}}^3$ boundary in $K{\ddot{a}}hler$ manifolds, and we apply it to obtain a Hartogs-like extension theorems for ${\bar{\partial}}$-closed forms for some bidegree.

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References

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