Smooth bounded strictly and weakly pseudoconvex domains cannot be biholomorphic

Smooth bounded strictly and weakly pseudoconvex domains cannot be biholomorphic
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by Steven Bell PDF

Bull. Amer. Math. Soc. 4 (1981), 119-120

References

Steven R. Bell, Biholomorphic mappings and the $\bar \partial$-problem, Ann. of Math. (2) 114 (1981), no. 1, 103–113. MR 625347, DOI 10.2307/1971379
Klas Diederich and John E. Fornaess, Pseudoconvex domains with real-analytic boundary, Ann. of Math. (2) 107 (1978), no. 2, 371–384. MR 477153, DOI 10.2307/1971120
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, DOI 10.2307/1971240
Charles Fefferman, The Bergman kernel and biholomorphic mappings of pseudoconvex domains, Invent. Math. 26 (1974), 1–65. MR 350069, DOI 10.1007/BF01406845
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
J. J. Kohn, Subellipticity of the $\bar \partial$-Neumann problem on pseudo-convex domains: sufficient conditions, Acta Math. 142 (1979), no. 1-2, 79–122. MR 512213, DOI 10.1007/BF02395058
J. J. Kohn, Global regularity for $\bar \partial$ on weakly pseudo-convex manifolds, Trans. Amer. Math. Soc. 181 (1973), 273–292. MR 344703, DOI 10.1090/S0002-9947-1973-0344703-4
S. I. Pinčuk, Proper holomorphic maps of strictly pseudoconvex domains, Sibirsk. Mat. Ž. 15 (1974), 909–917, 959 (Russian). MR 0355109