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Investigation of smoothness conditions on the boundary for the strong linear convexity of a domain

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Abstract

We construct a counterexample for the hypothesis that the strong linear convexity of a domain follows from the linear convexity if the set of singularities does not split the boundary.

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References

  1. A. P. Yuzhakov and V. P. Krivokolesko, “Properties of linearly convex domains with smooth boundaries in ℂn,”Sib. Mat. Zh.,12, No. 2, 452–458 (1971).

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Authors and Affiliations

  1. Chernigov Pedagogical University, Chernigov

    V. L. Mel’nik

Authors
  1. V. L. Mel’nik
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 12, pp. 1710–1713, December, 1999.

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Mel’nik, V.L. Investigation of smoothness conditions on the boundary for the strong linear convexity of a domain. Ukr Math J 51, 1935–1938 (1999). https://doi.org/10.1007/BF02525135

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  • DOI: https://doi.org/10.1007/BF02525135

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