Ukrainian Mathematical Journal

, Volume 59, Issue 10, pp 1472–1481 | Cite as

Application of a separating transformation to estimates of inner radii of open sets

  • A. K. Bakhtin
  • V. E. V’yun


We obtain solutions of new extremal problems of the geometric theory of functions of a complex variable related to estimates for the inner radii of nonoverlapping domains. Some known results are generalized to the case of open sets.


Conformal Mapping Extremal Problem Imaginary Axis Geometric Theory Quadratic Differential 
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Copyright information

© Springer Science+Business Media, Inc. 2007

Authors and Affiliations

  • A. K. Bakhtin
    • 1
  • V. E. V’yun
    • 1
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKievUkraine

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