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- W2462165408 abstract "We consider the ring Q-homeomorphisms with respect to a p-modulus. A criterion of the membership to this class is established. On this basis, we solve a Lavrentiev-type problem [17] of estimation of the measures for images of balls under such mappings and study their asymptotic behavior at a point. The theory developed by us is applicable to the description of mappings that are either quasiconformal on the average (see [8, 16]) and to the so-called (p, q)-quasiconformal mappings (see [32]), as well as to the mappings of the Orlicz—Sobolev class $ W_{loc}^{{1,varphi }} $ under the Calderon condition and, in particular, to Sobolev’s classes $ W_{loc}^{1,p } $ for p > n − 1 (see [1, 15])." @default.
- W2462165408 created "2016-07-22" @default.
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- W2462165408 date "2014-01-08" @default.
- W2462165408 modified "2023-09-27" @default.
- W2462165408 title "To a theory of ring Q-homeomorphisms with respect to a p-modulus" @default.
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- W2462165408 doi "https://doi.org/10.1007/s10958-014-1685-6" @default.
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