Geodesic
$L^p$-estimates for solutions of $\overline \partial$-equation on strongly $q$-convex domains
Mathematica slovaca, Tome 54 (2004) no. 4, pp. 337-348
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 32Q15, 32W05 
@article{MASLO_2004_54_4_a1,
     author = {Abdelkader, Osama and Khidr, Sh.},
     title = {$L^p$-estimates for solutions of $\overline \partial$-equation on strongly $q$-convex domains},
     journal = {Mathematica slovaca},
     pages = {337--348},
     year = {2004},
     volume = {54},
     number = {4},
     mrnumber = {2102288},
     zbl = {1091.32015},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_2004_54_4_a1/}
}
TY  - JOUR
AU  - Abdelkader, Osama
AU  - Khidr, Sh.
TI  - $L^p$-estimates for solutions of $\overline \partial$-equation on strongly $q$-convex domains
JO  - Mathematica slovaca
PY  - 2004
SP  - 337
EP  - 348
VL  - 54
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/MASLO_2004_54_4_a1/
LA  - en
ID  - MASLO_2004_54_4_a1
ER  - 
%0 Journal Article
%A Abdelkader, Osama
%A Khidr, Sh.
%T $L^p$-estimates for solutions of $\overline \partial$-equation on strongly $q$-convex domains
%J Mathematica slovaca
%D 2004
%P 337-348
%V 54
%N 4
%U http://geodesic.mathdoc.fr/item/MASLO_2004_54_4_a1/
%G en
%F MASLO_2004_54_4_a1
Abdelkader, Osama; Khidr, Sh. $L^p$-estimates for solutions of $\overline \partial$-equation on strongly $q$-convex domains. Mathematica slovaca, Tome 54 (2004) no. 4, pp. 337-348. http://geodesic.mathdoc.fr/item/MASLO_2004_54_4_a1/

[1] ABDELKADER O.: $L^p$ -estimates for solution of $\delta$-equation in strongly pseudo-convex domains. Tensor (N.S) 58 (1997), 128-136. | MR | Zbl

[2] ABDELKADER O.: Un théorème ďannulation pour les fibrés endroites semi-positifs sur une variété Kählérienne faibement 1-complète. In: Complex Analysis-Fifth Romanian-Finish Seminar Part 2. Lecture Notes in Math. 1014, Springer-Verlag, New York, 1981, pp. 1-16. | MR

[3] ABDELKADER O.-KHIDR, SH.: Solutions to $\overline\partial$-equations on strongly pseudo-convex domains with $L^p$ -estimates. Electron. J. Differential Equations 73 (2004), 1-9, http://ejde.math.txstate.edu, http://ejde.math.unt.edu, or ftp ejde.math.txstate.edu (login: ftp). | MR

[4] ABDELKADER O.-SABER S.: On the vanishing theorem of Grauert-Riemeschneider. In: Proceeding of the International Conference of Mathematics (Trends and Developments) of the Egyptian Mathematical Society, Cairo, Egypt, 28-31 December (2002) (To appear in Egyptian Mathematical Society 2004). | MR

[5] ANDREOTTI A.-GRAUERT H.: Theoreme de finitude pour la cohomologie des espaces complexes. Bull. Soc. Math. France 90 (1962), 193-259. | MR

[6] HÖRMANDER L.: An Introduction to Complex Analysis in Several Variables. Van Nostrand, Princeton, N.J., 1990. | MR | Zbl

[7] HÖRMANDER L.: $L^2$-estimates and existence theorems for the $\overline\partial$-operator. Acta Math. 113 (1965), 89-152. | MR | Zbl

[8] KOHN J. J.-ROSSI H.: On the extension of holomorphic functions from the boundary of a complex manifold. Ann. of Math. 81 (1965), 451-472. | MR

[9] KERZMAN N.: Hölder and $L^p$-estimates for solutions of $\overline\partial u = f$ in strongly pseudoconvex domains. Comm. Pure Appl. Math. 24 (1971), 301-380. | MR | Zbl

[10] LAN M.: Hölder and $L^p$-estimates for the $\overline\partial$-equation on non-smooth strictly $q$-convex domains. Manuscripta Math. 74 (1992), 177-193. | MR | Zbl

[11] OVRELID N.: Integral representation formulas and $L^p$-estimates for $\overline\partial$-equation. Math. Scand. 29 (1971), 137-160. | MR