Explicit relations for the reduced module and harmonic measure

• Datum: 1993
• Hauptverfasser: Bely, V. I., Kravchuk, E. V., Белый, В. И., Кравчук, Е. В.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1993
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5844
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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.