Journal of Mathematical Sciences

, Volume 193, Issue 1, pp 55–65 | Cite as

Generalized capacities, compound curves, and removable sets

  • Yu. V. Dymchenko
  • V. A. Shlyk

Relations between the generalized capacity of a condenser in the sense of Aikawa-Ohtsuka and the module of the family of compound curves connecting the condenser plates through a given set are established. Conditions of the removability of a compact set for the generalized capacity of a condenser are obtained. Properties of the extremal length of vector measures are used. Bibliography: 9 titles.


Vector Measure Generalize Capacity Extremal Length Compound Curf 
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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Institute of Applied Mathematics of the Far Eastern Branch of the RASVladivostokRussia
  2. 2.Far Eastern Federal UniversityVladivostokRussia

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