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This article is cited in 38 scientific papers (total in 38 papers)
Holomorphic inequivalence of some classes of domains in $\mathbf C^n$
S. I. Pinchuk
Abstract:
This article proves the biholomorphic inequivalence of some classes of domains in $\mathbf C^n$: in particular, bounded pseudoconvex domains with smooth and piecewise smooth (but not smooth) boundaries. It is shown that a proper holomorphic mapping of one strictly pseudoconvex domain onto another is locally biholomorphic.
Bibliography: 20 titles.
Received: 06.06.1979
Citation:
S. I. Pinchuk, “Holomorphic inequivalence of some classes of domains in $\mathbf C^n$”, Mat. Sb. (N.S.), 111(153):1 (1980), 67–94; Math. USSR-Sb., 39:1 (1981), 61–86
Linking options:
https://www.mathnet.ru/eng/sm2492https://doi.org/10.1070/SM1981v039n01ABEH001470 https://www.mathnet.ru/eng/sm/v153/i1/p67
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Abstract page: | 480 | Russian version PDF: | 161 | English version PDF: | 22 | References: | 61 |
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