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Smooth extendability of proper holomorphic mappings
Author(s):
Klas
Diederich;
John Erik
Fornaess
Journal:
Bull. Amer. Math. Soc.
7
(1982),
264-268.
MSC (1980):
Primary 32H99, 32F15
MathSciNet review:
656208
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References |
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Additional information
References:
- 1.
- S. Bell and E. Ligocka, A simplification and extension of Fefferman's theorem on biholomorphic mappings, Invent. Math. 57 (1980), 283-289. MR 568937
- 2.
- S. Bell. Biholomorphic mappings and the $\bar \partial $-problem, Ann. of Math. (2) 114 (1981), 103-113. MR 625347
- 3.
- S. Bell, Proper holomorphic mappings and the Bergman projection, Duke Math. J. 48 (1981), 167-175. MR 610182
- 4.
- S. Bell, The Bergman kernel function and proper holomorphic mappings, Preprint (1981). MR 645338
- 5.
- S. Bell, Analytic hypoellipticity of the $\bar \partial $-Neumann problem and extendability of holomorphic mappings, Preprint (1981). MR 631091
- 6.
- K. Diederich and J. E. Fornaess, Pseudoconvex domains with real-analytic boundary, Ann. of Math. (2) 107 (1978), 371-384. MR 477153
- 7.
- K. Diederich and J. E. Fornaess, A remark on a paper of S. Bell, Manuscripta Math. 34 (1981), 31-44. MR 614388
- 8.
- K. Diederich and J. E. Fornaess, Proper holomorphic images of strictly pseudoconvex domains, Preprint (1981). MR 656667
- 9.
- Ch. Fefferman, The Bergman kernel and biholomorphic mappings of pseudoconvex domains, Invent. Math. 26 (1974), 1-65. MR 350069
- 10.
- J. J. Kohn, Harmonic integrals on strongly pseudoconvex manifolds. I and II, Ann. of Math. (2) 78 (1963), 112-148; 79 (1964), 450-472.
- 11.
- J. J. Kohn, Subellipticity of the $\bar \partial $-Neumann problem on pseudoconvex domains: sufficient conditions, Acta Math. 142 (1979), 79-122. MR 512213
- 12.
- E. Ligocka, How to prove Fefferman's theorem without use of differential geometry, Ann. Polon. Math.
- 13.
- S. Pincuk, Proper holomorphic mappings between strongly pseudoconvex domains, Dokl. Akad. Nauk SSSR 241 (1978), 30-33. MR 510886
- 14.
- S. Webster, On the proof of boundary smoothness of biholomorphic mappings. Preprint (1978).
- 15.
- S. Webster, Biholomorphic mappings and the Bergman kernel off the diagonal, Invent. Math. 51 (1979), 155-169. MR 528021
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Additional Information:
DOI:
10.1090/S0273-0979-1982-15029-7
PII:
S 0273-0979(1982)15029-7
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