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- Title
THE ∂-CAUCHY PROBLEM ON WEAKLY q-CONVEX DOMAINS IN CP<sup>n</sup>.
- Authors
SABER, SAYED
- 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.
- Subjects
EXISTENCE theorems; PROJECTIVE spaces; CAUCHY problem
- Publication
Kragujevac Journal of Mathematics, 2020, Vol 44, Issue 4, p581
- ISSN
1450-9628
- Publication type
Article
- DOI
10.46793/KgJMat2004.581S