Geodesic
Global boundary regularity for the $\overline{\partial}$-equation on $q$-pseudo-convex domains
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 16 (2005) no. 1, pp. 5-9.

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For a bounded domain $D$ of $\mathbb{C}^{n}$, we introduce a notion of «$q$-pseudoconvexity» of new type and prove that for a given $\overline{\partial}$-closed $(p,r)$-form $f$ that is smooth up to the boundary on $D$, and for $r \ge q$, there exists a $(p,r-1)$-form $u$ smooth up to the boundary on $D$ which is a solution of the equation $\overline{\partial} u = f$
Si introduce una nuova nozione di «$q$-pseudoconvessità» per un dominio $D$ di $\mathbb{C}^{n}$. Per un tale $D$, e per ogni forma $\overline{\partial}$-chiusa $f$ di tipo $(p,r)$ con $r \ge q$, che è $C^{\infty}$ fino al bordo di $D$, si prova che esiste una forma $u$ anch'essa $C^{\infty}$ in $\overline{D}$ che risolve l'equazione $\overline{\partial} u = f$ 
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     title = {Global boundary regularity for the $\overline{\partial}$-equation on $q$-pseudo-convex domains},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
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Ahn, Heungju. Global boundary regularity for the $\overline{\partial}$-equation on $q$-pseudo-convex domains. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 16 (2005) no. 1, pp. 5-9. http://geodesic.mathdoc.fr/item/RLIN_2005_9_16_1_a0/

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