Geodesic
The $\bar\partial$-Cauchy Problem on Weakly $q$-Convex Domains in $\Bbb{C}P^n$
Kragujevac Journal of Mathematics, Tome 44 (2020) no. 4, p. 581

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Let $D$ be a weakly $q$-convex domain in the complex projective space $\Bbb{C}P^n$. In this paper, the (weighted) $\bar\partial$-Cauchy problem with support conditions in $D$ is studied. Specifically, the modified weight function method is used to study the $L^2$ existence theorem for the $\bar\partial$-Neumann problem on $D$. The solutions are used to study function theory on weakly $q$-convex domains via the $\bar\partial$-Cauchy problem.
Classification : 32F10 32W05
Keywords: $\bar\partial$, $\bar\partial$-Neumann operator, $q$-convex domains 
@article{KJM_2020_44_4_a8,
     author = {Sayed Saber},
     title = {The $\bar\partial${-Cauchy} {Problem} on {Weakly} $q${-Convex} {Domains} in $\Bbb{C}P^n$},
     journal = {Kragujevac Journal of Mathematics},
     pages = {581 },
     publisher = {mathdoc},
     volume = {44},
     number = {4},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2020_44_4_a8/}
}
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Sayed Saber. The $\bar\partial$-Cauchy Problem on Weakly $q$-Convex Domains in $\Bbb{C}P^n$. Kragujevac Journal of Mathematics, Tome 44 (2020) no. 4, p. 581 . http://geodesic.mathdoc.fr/item/KJM_2020_44_4_a8/