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Smooth bounded strictly and weakly pseudoconvex domains cannot be biholomorphic
Author:
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 |
Similar Articles |
Additional Information
- 1.
Steven
R. Bell, Biholomorphic mappings and the ∂-problem, Ann.
of Math. (2) 114 (1981), no. 1, 103–113. MR 625347
(82j:32039), http://dx.doi.org/10.2307/1971379
- 2.
Klas
Diederich and John
E. Fornaess, Pseudoconvex domains with real-analytic boundary,
Ann. Math. (2) 107 (1978), no. 2, 371–384. MR 0477153
(57 #16696)
- 3.
Klas
Diederich and John
E. Fornæss, Proper holomorphic maps onto pseudoconvex domains
with real-analytic boundary, Ann. of Math. (2) 110
(1979), no. 3, 575–592. MR 554386
(81h:32027), http://dx.doi.org/10.2307/1971240
- 4.
Charles
Fefferman, The Bergman kernel and biholomorphic mappings of
pseudoconvex domains, Invent. Math. 26 (1974),
1–65. MR
0350069 (50 #2562)
- 5.
G.
M. Henkin, An analytic polyhedron is not holomorphically equivalent
to a strictly pseudoconvex domain, Dokl. Akad. Nauk SSSR
210 (1973), 1026–1029 (Russian). MR 0328125
(48 #6467)
- 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 ∂-Neumann problem on
pseudo-convex domains: sufficient conditions, Acta Math.
142 (1979), no. 1-2, 79–122. MR 512213
(80d:32020), http://dx.doi.org/10.1007/BF02395058
- 8.
J.
J. Kohn, Global regularity for ∂ on weakly
pseudo-convex manifolds, Trans. Amer. Math.
Soc. 181 (1973),
273–292. MR 0344703
(49 #9442), http://dx.doi.org/10.1090/S0002-9947-1973-0344703-4
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S.
I. Pinčuk, Proper holomorphic maps of strictly pseudoconvex
domains, Sibirsk. Mat. Ž. 15 (1974),
909–917, 959 (Russian). MR 0355109
(50 #7586)
- 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:
http://dx.doi.org/10.1090/S0273-0979-1981-14878-3
PII:
S 0273-0979(1981)14878-3
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