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Spherical symmetrization and NED-sets on a hyperplane

Simple sufficient conditions for a compact set on a hyperplane to be a NED-set in terms of the spherical accessibility of its points from the complement of this set to the hyperplane are derived. Bibliography: 14 titles.


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Correspondence to V. A. Shlyk.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 404, 2012, pp. 248–258.

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Shlyk, V.A. Spherical symmetrization and NED-sets on a hyperplane. J Math Sci 193, 145–150 (2013).

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  • Spherical Symmetrization
  • Simple Sufficient Condition