References
Alexander, H.: Proper holomorphic maps in ℂn. Indiana Univ. Math. J.26, 137–146 (1977)
Bedford, E., Fornæss, J.E.: Local extension of CR-functions from weakly pseudoconvex boundaries. Mich. Math. J.25, 259–262 (1978)
Bedford, E., Fornæss, J.E.: Biholomorphic maps of weakly pseudoconvex domains. Duke Math. J.45, 711–719 (1978)
Diederich, K., Fornæss, J.E.: Pseudoconvex domains: Bounded strictly plurisubharmonic exhaustion functions. Invent. Math.39, 129–141 (1977)
Diederich, K., Fornæss, J.E.: Pseudoconvex domains with real-analytic boundary. Ann. Math.107, 371–384 (1978)
Diederich, K., Fornæss, J.E.: Proper holomorphic maps onto pseudoconvex domains with real-analytic boundary. Ann. Math. (to appear)
Diederich, K., Fornæss, J.E.: Biholomorphic maps between Hartogs-domains in ℂ2 with real-analytic boundaries. Preprint (1979)
Fefferman, C.: The Bergman kernel and biholomorphic mappings of pseudoconvex domains. Invent. Math.26, 1–65 (1974)
Fornæss, J.E.: Biholomorphic mappings between weakly pseudoconvex domains. Pac. J. Math.74, 63–65 (1978)
Henkin, G.M.: An analytic polyhedron is not holomorphically equivalent to a strictly pseudoconvex domain. Dokl. Akad. Nauk SSSR210, 1026–1029 (1973); Soviet Math. Dokl.14, 858–862 (1973)
Kaup, W.: Über das Randverhalten von holomorphen Automorphismen beschränkter Gebiete. Manuscripta Math.3, 257–270 (1970)
Lewy, H.: On the boundary behavior of holomorphic mappings. Acad. Naz. Lincei35 (1977)
Lojasiewicz, S.: Sur le problème de la division. Studia Math.18, 87–136 (1959)
Margulis, G.A.: All-union conference on the theory of functions. Har'kov p. 137 (1971)
Naruki, I.: On extendability of isomorphisms of Cartan connections and biholomorphic mappings of bounded domains. Tôhoku Math. J.28, 117–122 (1976)
Nirenberg, L., Webster, S., Yang, P.: Local boundary regularity of holomorphic mappings. Preprint (1979)
Pinčuk, S.: On proper holomorphic mappings of strictly pseudoconvex domains. Siberian Math. J.15, 644–649 (1975)
Pinčuk, S.: On the analytic continuation of holomorphic mappings. Math. USSR Sbornik27, 373–392 (1975); Math. Sbornik98, 416–435 (1975)
Pinčuk, S.: Proper holomorphic mappings between strongly pseudoconvex domains (Russian). Dokl. Akad. Nauk SSSR241, 30–33 (1978)
Range, R.M.: The Carathéodory metric and holomorphic maps on a class of weakly pseudoconvex domains. Pac. J. Math.78, 173–189 (1978)
Vormoor, N.: Topologische Fortsetzung biholomorpher Funktionen auf dem Rande bei beschränkten streng-pseudokonvexen Gebieten im ℂn mitC ∞-Rand. Math. Ann.204, 239–261 (1973)
Webster, S.: On the mapping problem for algebraic real hypersurfaces. Invent. Math.43, 53–68 (1977)
Webster, S.: On the reflection principle in several complex variables. Proc. AMS71, 26–28 (1978)
Webster, S.: Biholomorphic mappings and the Bergman kernel off the diagonal. Invent. Math.51, 155–169 (1979)
Yang, P.: Holomorphic curves and boundary regularity of biholomorphic maps of pseudoconvex domains. Preprint (1978)
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Diederich, K., Fornæss, J.E. Biholomorphic mappings between certain real analytic domains in ℂ2 . Math. Ann. 245, 255–272 (1979). https://doi.org/10.1007/BF01673510
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01673510