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Some properties of the reduced modulus in space
Authors:O. A. Lazareva
Affiliation:(1) Novosibirsk State University, Novosibirsk, Russia
Abstract:We obtain upper bounds for the conformal modulus of a condenser with uniformly perfect plates and for the reduced modulus of a uniformly perfect set E at ></img>                              </span>. For the reduced moduli of α-uniformly perfect sets we prove the continuity property with respect to the kernel convergence of the complements to these sets in the sense of Carathéodory.</td>
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Keywords:conformal capacity  reduced modulus  kernel convergence  filling of sets
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