References
- A. Andreotti and E. Vesentini, Sopra un teorema di Kodaira, Ann. Scuola Norm. Sup. Pisa (3) 15 (1961), 283-309.
-
J. Cao, M.-C. Shaw, and L. Wang, Estimates for the
$\partial$ -Neumann problem and nonexistence of$C^2$ Levi-flat hypersurfaces in$P^n$ , Math. Z. 248 (2004), no. 1, 183-221. https://doi.org/10.1007/s00209-004-0661-0 -
M. Derridj, Regularitepour
$\partial$ dans quelques domaines faiblement pseudo-convexes, J. Differential Geom. 13 (1978), no. 4, 559-576. https://doi.org/10.4310/jdg/1214434708 - G. B. Folland and J. J. Kohn, The Neumann Problem for the Cauchy-Riemann Complex, Princeton University Press, Princeton, NJ, 1972.
- P. A. Griffths, The extension problem in complex analysis. II. Embeddings with positive normal bundle, Amer. J. Math. 88 (1966), 366-446. https://doi.org/10.2307/2373200
-
L.-H. Ho,
$\partial$ -problem on weakly q-convex domains, Math. Ann. 290 (1991), no. 1, 3-18. https://doi.org/10.1007/BF01459235 -
L. Hormander,
$L^2$ estimates and existence theorems for the$\partial$ operator, Acta Math. 113 (1965), 89-152. https://doi.org/10.1007/BF02391775 - K. Kodaira, On Kahler varieties of restricted type (an intrinsic characterization of algebraic varieties), Ann. of Math. (2) 60 (1954), 28-48. https://doi.org/10.2307/1969701
-
T. Ohsawa, Pseudoconvex domains in
$P^n$ : a question on the 1-convex boundary points, in Analysis and geometry in several complex variables (Katata, 1997), 239-252, Trends Math, Birkhauser Boston, Boston, MA, 1997. -
S. Saber, Solution to
$\partial$ problem with exact support and regularity for the$\partial$ -Neumann operator on weakly q-pseudoconvex domains, Inter. J. of Geometric Methods in Modern Physics 7 (2010), no. 1, 135-142. https://doi.org/10.1142/S0219887810003963 -
S. Saber, The
$L^2$ $\partial$ -Cauchy problem on weakly q-pseudoconvex domains in Stein mani- folds, Czechoslovak Math. J. 65(140) (2015), no. 3, 739-745. https://doi.org/10.1007/s10587-015-0205-2 -
S. Saber, The
$L^2$ $\partial$ -cauchy problem on pseudoconvex domains and applications, Asian- European J. Math. 11 (2018), no. 1, 1850025, 8 pages. https://doi.org/10.1142/S1793557118500250 -
S. Sambou, Resolution du
$\partial$ pour les courants prolongeables definis dans un anneau, Ann. Fac. Sci. Toulouse Math. (6) 11 (2002), no. 1, 105-129. https://doi.org/10.5802/afst.1020 -
M.-C. Shaw, Local existence theorems with estimates for
${\partial}_b$ on weakly pseudo-convex CR manifolds, Math. Ann. 294 (1992), no. 4, 677-700. https://doi.org/10.1007/BF01934348 - K. Takegoshi, Representation theorems of cohomology on weakly 1-complete manifolds, Publ. Res. Inst. Math. Sci. 18 (1982), no. 2, 551-606. https://doi.org/10.2977/prims/1195183572
- K. Takegoshi, Global regularity and spectra of Laplace-Beltrami operators on pseudoconvex domains, Publ. Res. Inst. Math. Sci. 19 (1983), no. 1, 275-304. https://doi.org/10.2977/prims/1195182988
- E. Vesentini, Lectures on Levi convexity of complex manifolds and cohomology vanishing theorems, Notes by M. S. Raghunathan. Tata Institute of Fundamental Research Lectures on Mathematics, No. 39, Tata Institute of Fundamental Research, Bombay, 1967.