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Quasicqnformal mappings with restrictions in measure

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Abstract

The principal result of the paper is a criterion of compactness for mappings quasiconformal in the mean. The semicontinuity of a deformation of homeomorphisms from the Sobolev class is also proved.

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Authors and Affiliations

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

    V. I. Ryazanov

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  1. V. I. Ryazanov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 7, pp. 1009–1019, July, 1993.

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Ryazanov, V.I. Quasicqnformal mappings with restrictions in measure. Ukr Math J 45, 1121–1133 (1993). https://doi.org/10.1007/BF01057458

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  • DOI: https://doi.org/10.1007/BF01057458

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