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Ukrainian Mathematical Journal

, Volume 62, Issue 8, pp 1285–1294 | Cite as

Modules of continuity and analytic functions

  • Yu. Yu. Trokhimchuk
Article

For a function analytic in a compact domain and continuous in its closure, it is shown that the modules of continuity on the boundary of the domain and in its closure coincide.

Keywords

Analytic Function Boundary Point Lipschitz Function Jordan Domain Compact Domain 
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Copyright information

© Springer Science+Business Media, Inc. 2011

Authors and Affiliations

  • Yu. Yu. Trokhimchuk
    • 1
  1. 1.Institute of Mathematics, Ukrainian National Academy of SciencesKievUkraine

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