References
Baouendi, M.S., Bell, S., Rothschild, L.P.: Mappings of three-dimensional CR manifolds and their holomorphic extension. Duke Math. J.56, 503–530 (1988)
Baouendi, M.S., Rothschild, L.P.: CR mappings and their holomorphic extensions. Invent. Math.93, 481–500 (1988)
Baouendi, M.S., Rothschild, L.P.: Germs of CR maps between real analytic hypersurfaces. Preprint
Barrett, D.: Regularity of the Bergman projection and local geometry of domains. Duke Math. J.53, 333–343 (1986)
Bedford, E., Fornaess, J.E.: Local extension of CR functions from weakly pseudoconvex boundaries. Mich. Math. J.25, 259–262 (1978)
Bell, S.: Biholomorphic mappings and the\(\bar \partial \)-problem. Ann. Math.114, 103–113 (1980)
Bell, S.: Differentiability of the Bergman kernel and Pseudo-local estimates. Math. Z.192, 467–472 (1986)
Bell, S.: Local regularity of CR mappings. Duke Math. J., To appear
Bell, S.: Local boundary behavior of proper holomorphic mappings, in “Proc. of Symposia in Pure and Applied Math., Vol. 41”, Am. Math. Soc. 1984, pp. 1–7
Bell, S., Catlin, D.: Boundary regularity of proper holomorphic mappings. Duke Math. J.49, 385–396 (1982)
Catlin, D.: Subelliptic estimates for the\(\bar \partial \) problem on pseudoconvex domains. Ann. Math.126, 131–191 (1987)
Catlin, D.: Necessary conditions for subellipticity of the\(\bar \partial \)-Neumann problem. Ann. Math.117, 147–171 (1983)
D'Angelo, J.: Real hypersurfaces, orders of contact, and applications. Ann. Math.115, 615–637 (1982)
Diederich, K., Fornaess, J.E.: Pseudoconvex domains: bounded plurisubharmonic exhaustion functions. Invent. Math.39, 129–141 (1977)
Diederich, K., Fornaess, J.E.: Boundary regularity of proper holomorphic mappings. Invent. Math.67, 363–384 (1982)
Diederich, K., Fornaess, J.E.: Proper holomorphic mappings between real-analytic pseudoconvex domains in ℂn. Preprint
Fornaess, J.E.: Biholomorphic mappings between weakly pseudoconvex domains. Pac. J. Math.74, 63–65 (1978)
Fornaess, J.E., Løw, E.: Proper holomorphic mappings. Math. Scand.58, 311–322 (1986)
Kohn, J.J.: Global regularity for ℂn on weakly pseudoconvex manifolds. Trans. A.M.S.181, 273–292 (1973)
Lempert, L.: La métrique de Kobayashi et la représentation des domaines sur la boule. Bull. Soc. Math. France109, 427–474 (1981)
Nirenberg, L., Webster, S., Yang, P.: Local boundary regularity of holomorphic mappings. Commun. Pure Appl. Math.33, 305–338 (1980)
Rosay, J.-P.: A propos de “Wedges et d'Edges”, et de prolongements holomorphes. Trans. Am. Math. Soc.297, 63–72 (1986)
Rudin, W.: Function theory in the unit ball of ℂn. New York: Springer 1980
Author information
Authors and Affiliations
Additional information
Sloan Fellow, partially supported by NSF grant DMS 8619858
Partially supported by NSF grant DMS 8500999A2
Rights and permissions
About this article
Cite this article
Bell, S., Catlin, D. Regularity of CR mappings. Math Z 199, 357–368 (1988). https://doi.org/10.1007/BF01159784
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01159784