Sur le noyau de Bergman des domaines de Reinhardt

D'Angelo, J.: A note on the Bergman Kernel. Duke Math. Journal45, (n^o 2) 259–265 (1978)Google Scholar

Bell, S.: Biholomorphic mapping and the\(\bar \partial \). Annals of Math.114, 103–113 (1981)Google Scholar

Bell, S., Boas, H.: Regularity of the Bergman projection in weakly pseudoconvex domains. Math. Ann.257, 23–30 (1981)Google Scholar

Bell, S., Ligocka, E.: A simplification and extension of Fefferman's theorem on biholomorphic mappings. Invent. Math.57, 283–289 (1980)Google Scholar

Boichu, D.: Conjecture de Ramadanov sur le noyau de Bergman Thèse de 3ème cycle, Université de Lille I, juin 1982Google Scholar

Bonami, A., Lohoue, N.: Projecteurs de Bergman et Szegö pour une classe de domaines faiblement pseudo-convexes et estimationsL ^p. Prépublications, Université de Paris-SudGoogle Scholar

Boutet de Monvel, L., Sjöstrand, J.: Sur la singularité des noyaux de Bergman et de Szegö. S.M.F. Astérisque34–35, 123–164 (1976)Google Scholar

Coeuré, G.: Sur le noyau de Bergman des domaines de Reinhart. Publication IRMA-Lille-Vol.3, (fasc. 5, II) 1–16 (1981)Google Scholar

Diederich, K.: Some recent developments in the theory of the Bergman kernel function: a survey. Proceedings of Symposia in Pure Mathematics, Vol. 30 (1977)Google Scholar

Diederich, K., Fornaess, J.: Pseudo-convex domains with real-analytic boundary. Ann. of Math.107, 371–384 (1978)Google Scholar

Fefferman, C.: The Bergman Kernel and biholomorphic mapping of pseudoconvex domains. Invent. Math.26, 1–65 (1974)Google Scholar

Hörmander, L.: Introduction to complex analysis in several variables. North Holland, Amsterdam (1973)Google Scholar

Hörmander, L.:L ²-Estimates and existence theorems for the\(\bar \partial \)-operator. Acta Math.113, 89–152 (1965)Google Scholar

Kerzman, N.: The Bergman kernel function. Differentiability at the boundary. Math. Ann.195, 149–158 (1972)Google Scholar

Kohn, J.J.: Harmonic integrals on strongly pseudo-convex manifolds I and II. Ann. Math.78, 112–148 (1963);79, 450–472 (1964)Google Scholar

Kohn, J.J.: Boundary behavior of\(\bar \partial \) on weakly pseudo-convex manifolds of dimension two. J. Differential Geometry6, 523–542 (1972)Google Scholar

Kohn, J.J.: Subellipticité of the\(\bar \partial \) Neumann problem on pseudo-convex domains sufficient conditions. Acta Math.142, 79–122 (1979)Google Scholar

Ramadanov, I.P.: A characterisation of the balls inC ⁿ by means of the Bergman kernel. Compte rendu de l'Académie bulgare des Sciences, Tome 34, (n^o 7) (1981)Google Scholar

Skwarczynski, M.: Biholomorphic invariants related to the Bergman functions Wroclawska Drukarnia Naukowa, 1980Google Scholar