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On the curved wedge condition and the continuity moduli of conformal mappings

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Abstract

A Jordan curveL is studied, which satisfies an interior or exterior wedge condition for wedges of various geometric forms. We obtain estimates of the continuity moduli for the conformal mappings of the exterior (interior) ofL onto the exterior (interior) of the unit disk.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Mechanics, Ukrainian Academy of Sciences, Donetsk

    V. I. Belyi & I. E. Pritsker

Authors
  1. V. I. Belyi
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  2. I. E. Pritsker
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 6, pp. 763–769, June, 1993.

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Belyi, V.I., Pritsker, I.E. On the curved wedge condition and the continuity moduli of conformal mappings. Ukr Math J 45, 837–844 (1993). https://doi.org/10.1007/BF01061436

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  • DOI: https://doi.org/10.1007/BF01061436

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