| Title:
|
$L^p$-estimates for solutions of $\overline \partial$-equation on strongly $q$-convex domains (English) |
| Author:
|
Abdelkader, Osama |
| Author:
|
Khidr, Sh. |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
54 |
| Issue:
|
4 |
| Year:
|
2004 |
| Pages:
|
337-348 |
| . |
| Category:
|
math |
| . |
| MSC:
|
32Q15 |
| MSC:
|
32W05 |
| idZBL:
|
Zbl 1091.32015 |
| idMR:
|
MR2102288 |
| . |
| Date available:
|
2009-09-25T14:21:49Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/131725 |
| . |
| Reference:
|
[1] ABDELKADER O.: $L^p$ -estimates for solution of $\delta$-equation in strongly pseudo-convex domains.Tensor (N.S) 58 (1997), 128-136. Zbl 1014.32026, MR 1697822 |
| Reference:
|
[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 0738110 |
| Reference:
|
[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 2057660 |
| Reference:
|
[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 2084879 |
| Reference:
|
[5] ANDREOTTI A.-GRAUERT H.: Theoreme de finitude pour la cohomologie des espaces complexes.Bull. Soc. Math. France 90 (1962), 193-259. MR 0150342 |
| Reference:
|
[6] HÖRMANDER L.: An Introduction to Complex Analysis in Several Variables.Van Nostrand, Princeton, N.J., 1990. Zbl 0685.32001, MR 1045639 |
| Reference:
|
[7] HÖRMANDER L.: $L^2$-estimates and existence theorems for the $\overline\partial$-operator.Acta Math. 113 (1965), 89-152. Zbl 0158.11002, MR 0179443 |
| Reference:
|
[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 0177135 |
| Reference:
|
[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. Zbl 0217.13202, MR 0281944 |
| Reference:
|
[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. Zbl 0754.35092, MR 1147561 |
| Reference:
|
[11] OVRELID N.: Integral representation formulas and $L^p$-estimates for $\overline\partial$-equation.Math. Scand. 29 (1971), 137-160. MR 0324073 |
| . |
