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A condition for quasiconformality

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Abstract

A necessary and sufficient condition is found for a homeomorphism of a region G⊂ C into the complex plane C to be K-quasiconformal.

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Literature cited

  1. S. Saks, Integration Theory [Russian translation], Moscow (1949).

  2. I. N. Vekua, Generalized Analytic Functions [in Russian], Moscow (1959).

  3. L. Ahlfors, Lectures on Quasiconformal Mapping [Russian translation], Moscow (1969).

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Authors and Affiliations

  1. Lvov State University, USSR

    S. P. Ponomarev

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  1. S. P. Ponomarev
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Translated from Matematicheskie Zametki, Vol. 9, No. 6, pp. 663–666, June, 1971.

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Ponomarev, S.P. A condition for quasiconformality. Mathematical Notes of the Academy of Sciences of the USSR 9, 385–386 (1971). https://doi.org/10.1007/BF01094580

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  • DOI: https://doi.org/10.1007/BF01094580

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