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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2012 Volume 404, Pages 248–258 (Mi znsl5272)

The spherical symmetrization and NED-sets on a hyperplane

V. A. Shlyk

Far Eastern Federal University, Vladivostok, Russia

Abstract: The simple sufficient condition of NED-sets on a hyperplane are derived in terms of spherical approachability of its points from complement of this set on the hyperplane.

Key words and phrases: scapacity, spherical symmetrization, modulus, removable sets.

UDC: 404

Received: 23.05.2012


 English version:
Journal of Mathematical Sciences (New York), 2013, 193:1, 145–150

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© Steklov Math. Inst. of RAS, 2025