2017
Том 69
№ 9

All Issues

Explicit relations for the reduced module and harmonic measure

Bely V. I., Kravchuk E. V.

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Abstract

Exact relations are established for the reduced modules of the families of curves separating certain connected subsets in arbitrary connected domains. New explicit expressions for the harmonic measure of a connected boundary subset are obtained as corollaries.

English version (Springer): Ukrainian Mathematical Journal 45 (1993), no. 4, pp 625-628.

Citation Example: Bely V. I., Kravchuk E. V. Explicit relations for the reduced module and harmonic measure // Ukr. Mat. Zh. - 1993. - 45, № 4. - pp. 576–578.

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