Geodesic
On Local Properties of Spatial Generalized Quasi-isometries
Matematičeskie zametki, Tome 101 (2017) no. 4, pp. 594-610

Voir la notice de l'article provenant de la source Math-Net.Ru

An upper bound for the measure of the image of a ball under mappings of a certain class generalizing the class of branched spatial quasi-isometries is determined. As a corollary, an analog of Schwarz' classical lemma for these mappings is proved under an additional constraint of integral character. The obtained results have applications to the classes of Sobolev and Orlicz–Sobolev spaces.
Keywords: mappings with bounded and finite distortion, local behavior of mappings, equicontinuity, bounds for distance distortion. 
@article{MZM_2017_101_4_a9,
     author = {R. R. Salimov and E. A. Sevost'yanov},
     title = {On {Local} {Properties} of {Spatial} {Generalized} {Quasi-isometries}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {594--610},
     publisher = {mathdoc},
     volume = {101},
     number = {4},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2017_101_4_a9/}
}
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R. R. Salimov; E. A. Sevost'yanov. On Local Properties of Spatial Generalized Quasi-isometries. Matematičeskie zametki, Tome 101 (2017) no. 4, pp. 594-610. http://geodesic.mathdoc.fr/item/MZM_2017_101_4_a9/