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Estimation of the measure of the image of the ball

Research paper by R. R. Salimov

Indexed on: 26 Aug '12Published on: 26 Aug '12Published in: Siberian Mathematical Journal



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.