The $dbar$ Cauchy-Problem on Weakly $Q$-Convex Domains in $Bbb{C}P^n$
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Authors: S. SABER1
DOI: 10.46793/KgJMat2004.581S
Abstract:
Let D be a weakly q-convex domain in the complex projective space ℂPn. In this paper, the (weighted) ∂-Cauchy problem with support conditions in D is studied. Specifically, the modified weight function method is used to study the L2 existence theorem for the ∂-Neumann problem on D. The solutions are used to study function theory on weakly q-convex domains via the ∂-Cauchy problem.
Keywords:
∂, ∂-Neumann operator, q-convex domains.
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