References
Aizenberg, L.A.: The general form of a continuous linear functional in spaces of functions that are holomorphic in convex domains of ℂn. Dokl. Akad. Nauk. SSSR,166, 1015–1018 (1966); Sov. Math. Dokl.7, 198–202 (1966)
Alt, W.: Hölderabschätzungen für Ableitungen von Lösungen der Gleichung\(\bar \partial u = f\) bei streng pseudokonvexem Rand. Ma. Math.13, 381–414 (1974)
Dolbeault, P.: Theorème de Plemelj en plusieurs variables. Riv. Mat. Univ. Parma10, 47–54 (1984)
Gindkin, S.G., Henkin, G.M.: Integral geometry for\(\bar \partial \)-cohomology inq-linear concave domain in CPn. Funkts. Anal. Priloz.12–4, 6–23 (1978)
Henkin, G.M.: Integral representations of functions in strictly pseudoconvex domains and some applications. Mat. Sb.78, 611–632 (1969); Math. USSR Sb.7, 597–616 (1969)
Henkin, G.M.: The Lewy equation and analysis on pseudoconvex manifolds. Usp. Mat. Nauk32, 57–118 (1977); Russ. Math. Surv.32, 59–130 (1977)
Kori, T.: Théorème de dualité du type Serre et du type Poincaré-Lefschetz sur la frontiére fortement pseudo-convexe. Tokyo J. Math.3, 299–327 (1982)
Kori, T.: Theorèmes de dualité sur la frontière fortement pseudoconvexe II, Dualité d'Alexandroff, Publ. RIMS, Kyoto Univ.20, 659–670 (1984)
Kerzman, N., Stein, E.M.: The Szegö kernel in terms of Cauchy-Fantappié kernels. Duke Math. J.45, 197–224 (1978)
Korányi, A., Vági, S.: Singular integrals on homogeneous spaces and some problems of classical analysis. Ann. Sc. Norm. Super. Pisa, Cl. Sci. fis. mat. III, Ser.25, 575–648 (1971)
Leray, J.: Le calcul differentiel et intégral sur une variété analytique complexe (Problème de Cauchy III). Bull. Soc. Math. Fr.87, 81–180 (1959)
Lieb, I.: Die Cauchy-Riemannschen Differentialgleichungen auf streng pseudokonvexen Gebieten, I. Math. Ann.190, 6–44 (1970)
Lieb, I., Range, R.M.: On integral representations and a priori Lipschitz estimates for the canonical solution of the\(\bar \partial \)-equation. Math. Ann.265, 221–251 (1983)
Laurent-Thiebaut, C.: Théorème de Bochner sur une variété de Stein, Analyse complexe. (Lecture Notes Mathematics Vol. 1094. Berlin Heidelberg New York: Springer 1986
Martineau, A.: Équations différentielles d'ordre infini; 2ème partie. Bull. Soc. Math. Fr.95, 109–154 (1967)
Øvrelid, N.: Integral representation formulas andL p-regularity for the\(\bar \partial \)-equation. Math. Scand.29, 137–160 (1971)
Rudin, W.: Function theory in the unit ball of ℂn. Grundlehren Math. Wiss. 241. Berlin Heidelberg New York: Springer (1980)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kori, T. Dual of the space of holomorphic functions with continuous boundary values on a strictly pseudo-convex domain in ℂn . Math. Ann. 284, 537–562 (1989). https://doi.org/10.1007/BF01443350
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01443350