1 |
E. M. Stein, Singular Integrals and Differentiability Properties of Functions, Math. Series 30, Princeton University Press, Princeton, New Jersey, 1970.
|
2 |
G. Vigna Suria, q-pseudoconvex and q-complete domains, Composito. Math. 53 (1984), 105-111.
|
3 |
G. Zampieri, Complex analysis and CR geometry, University Lecture Series, 43. American Mathematical Society, Providence, RI, 2008.
|
4 |
O. Abdelkader and S. Saber, Solution to -equations with exact support on pseudoconvex manifolds, Int. J. Geom. Methods Mod. Phys. 4 (2007), no. 3, 339-348.
DOI
|
5 |
A. Andreotti and E. Vesentini, Carleman estimates for the Laplace-Beltrami equation on complex manifolds, Inst. Hautes Etudes Sci. Publ. Math. (1965), no. 25, 81-130.
|
6 |
B. Berndtsson and Ph. Charpentier, A Sobolev mapping property of the Bergman kernel, Math. Z. 235 (2000), no. 1, 1-10.
DOI
|
7 |
H. P. Boas and E. J. Straube, Equivalence of regularity for the Bergman projection and the -Neumann problem, Manuscripta Math. 67 (1990), no. 1, 25-33.
DOI
|
8 |
S. C. Chen and M. C. Shaw, Partial differential equations in several complex variables, AMS/IP Studies in Advanced Mathematics, 19, (American Mathematical Society, Providence, RI and International Press, Boston, MA, 2001.
|
9 |
J. Cao and M. C. Shaw, The -Cauchy problem and nonexistence of Lipschitz Levi-flat hypersurfaces in with n 3, Math. Z. 256 (2007), no. 1, 175-192.
DOI
|
10 |
J. Cao, M. C. Shaw, and L. Wang, Estimates for the -Neumann problem and nonexistence of Levi-flat hypersurfaces in , Math. Z. 248 (2004), no. 1, 183-221.
DOI
|
11 |
J.-P. Demailly, Complex analytic and differential geometry, https://www-fourier.ujfgrenoble.fr/demailly/manusripts/agbook.pdf.
|
12 |
M. Derridj, Regularite pour dans quelques domaines faiblement pseudo-convexes, J. Differential Geometry 13 (1978), no. 4, 559-576.
DOI
|
13 |
K. Diederich and J. E. Fornaess, Smoothing q-convex functions and vanishing theorems, Invent. Math. 82 (1985), no. 2, 291-305.
DOI
|
14 |
M. G. Eastwood and G. V. Suria, Cohomologically complete and pseudoconvex domains, Comment. Math. Helv. 55 (1980), no. 3, 413-426.
DOI
|
15 |
O. Fujita, Domaines pseudoconvexes d'ordre general et fonctions pseudoconvexes d'ordre general, J. Math. Kyoto Univ. 30 (1990), no. 4, 637-649.
DOI
|
16 |
P. S. Harrington, The order of plurisubharmonicity on pseudoconvex domains with Lipschitz boundaries, Math. Res. Lett. 15 (2008), 485-490.
DOI
|
17 |
P. S. Harrington and M.-C. Shaw, The Strong Oka's lemma, bounded plurisubharmonic functions and the -Neumann problem, Asian J. Math. 11 (2007), no. 1, 127-139.
DOI
|
18 |
J.-L. Lions and E. Magenes, Non-Homogeneous Boundary Value Problems and Applications. Vol. I, Springer, Berlin Heidelberg New York, 1972.
|
19 |
J. J. Kohn and H. Rossi, On the extension of holomorphic functions from the boundary of a complex manifold, Ann. of Math. 81 (1965), 451-472.
DOI
|
20 |
L. Hormander, -estimates and existence theorems for the -operator, Acta Math. 113 (1965), 89-152.
DOI
|
21 |
K. Matsumoto, Boundary distance functions and q-convexity of pseudoconvex domains of general order in Kahler manifolds, J. Math. Soc. Japan 48 (1996), no. 1, 85-107.
DOI
|
22 |
T. Ohsawa, and N. Sibony, Bounded P.S.H. functions and pseudoconvexity in Kahler manifolds, Nagoya Math. J. 149 (1998), 1-8.
DOI
|
23 |
S. Saber, Solution to problem with exact support and regularity for the -Neumann operator on weakly q-convex domains, Int. J. Geom. Methods Mod. Phys. 7 (2010), no. 1, 135-142.
DOI
|
24 |
S. Saber, The -Cauchy problem on weakly q-pseudoconvex domains in Stein manifolds, Czechoslovak Math. J. 65 (2015), no. 3, 739-745.
DOI
|
25 |
S. Saber, The Cauchy-Problem on weakly q-convex domains in the complex projective space, preprint.
|
26 |
M.-C. Shaw, Local existence theorems with estimates for on weakly pseudo-convex boundaries, Math. Ann. 294 (1992), no. 4, 677-700.
DOI
|
27 |
Y. T. Siu, Complex-analyticity of harmonic maps, vanishing and Lefschetz theorems, J. Differential Geom. 17 (1982), no. 1, 55-138.
DOI
|