Abstract
We establish that an arbitrary locally linearly convex domain with a smooth boundary is strongly linearly convex.
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References
A. P. Yuzhakov and V. P. Krivokolesko, “Some properties of linearly convex domains with smooth boundaries in ℂn,” Sib. Mat. Zh., 12, No. 2, 452–458 (1971).
Yu. B. Zelinskii, Many-Valued Mappings in Analysis [in Russian], Naukova Dumka, Kiev (1993).
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Additional information
Chernigov Pedagogic Institute, Chernigov. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 11, pp. 1553–1556, November, 1997.
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Mel’nik, V.L. On linearly convex domains with smooth boundaries. Ukr Math J 49, 1747–1751 (1997). https://doi.org/10.1007/BF02487513
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DOI: https://doi.org/10.1007/BF02487513