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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
Article

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.

Keywords

Vector Measure Generalize Capacity Extremal Length Compound Curf 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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