Abstract
Under study is the class of ring Q-homeomorphisms with respect to the p-module. We establish a criterion for a function to belong to the class and solve a problem that stems from M. A. Lavrentiev [1] on the estimation of the measure of the image of the ball under these mappings. We also address the asymptotic behavior of these mappings at a point.
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Original Russian Text Copyright © 2012 Salimov R.R.
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 53, No. 4, pp. 920–930, July–August, 2012.
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Salimov, R.R. Estimation of the measure of the image of the ball. Sib Math J 53, 739–747 (2012). https://doi.org/10.1134/S0037446612040155
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DOI: https://doi.org/10.1134/S0037446612040155