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Smooth bounded strictly and weakly pseudoconvex domains cannot be biholomorphic
Author(s):
Steven
Bell
Journal:
Bull. Amer. Math. Soc.
4
(1981),
119-120.
MSC (1980):
Primary 32H99;
Secondary 35N15, 32A40
MathSciNet review:
590824
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References |
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Additional information
References:
- 1.
- S. Bell, Biholomorphic mappings and the $\bar \partial $-problem, Ann. of Math. (2) (to appear). MR 625347
- 2.
- K. Diederich and J. E. Fornaess, Pseudoconvex domains with real-analytic boundary, Ann. of Math. (2) 107 (1978), 371-384. MR 477153
- 3.
- K. Diederich and J. E. Fornaess, Proper holomorphic maps onto pseudoconvex domains with real analytic boundary, Ann. of Math. (2) 110 (1979), 575-592. MR 554386
- 4.
- C. Fefferman, The Bergman kernel and biholomorphic mappings of pseudoconvex domains, Invent. Math. 26 (1974), 1-65. MR 350069
- 5.
- G. Henkin, An analytic polyhedron is not holomorphically equivalent to a strictly pseudoconvex domain, Soviet Math. Dokl. 14 (1973), 858-862. MR 328125
- 6.
- J. J. Kohn, Harmonic integrals on strongly pseudoconvex manifolds. I, II, Ann of Math. (2) 78 (1963), 112-148; 79 (1964), 450-472.
- 7.
- J. J. Kohn, Subellipticity of the $\bar \partial $-Neumann problem on pseudoconvex domains: sufficient conditions, Acta Math. 142 (1979), 79-122. MR 512213
- 8.
- J. J. Kohn, Global regularity for $\bar \partial $ on weakly pseudoconvex manifolds, Trans. Amer. Math. Soc. 181 (1973), 273-292. MR 344703
- 9.
- S. Pinčuk, On proper holomorphic mappings of strictly pseudoconvex domains, Siberian Math. J. 15 (1974), 644-649. MR 355109
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Additional Information:
DOI:
10.1090/S0273-0979-1981-14878-3
PII:
S 0273-0979(1981)14878-3
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