Geodesic
Quasi-isometric mappings and the $p$-moduli of path families
Problemy analiza, Tome 5 (2016) no. 2, pp. 33-37

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In this article, we study a connection between quasiisometric mappings of $n$-dimensional domains and the $p$-moduli of path families. In particular, we obtain explicit (and sharp) estimates for the distortion of the $p$-moduli of path families under $K$-quasi-isometric mappings.
Keywords: $p$-modulus of path families; $p$-capacity of the condenser; quasi-isometric mappings. 
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     author = {A. P. Kopylov},
     title = {Quasi-isometric mappings and the $p$-moduli of path families},
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     url = {http://geodesic.mathdoc.fr/item/PA_2016_5_2_a2/}
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A. P. Kopylov. Quasi-isometric mappings and the $p$-moduli of path families. Problemy analiza, Tome 5 (2016) no. 2, pp. 33-37. http://geodesic.mathdoc.fr/item/PA_2016_5_2_a2/