Geodesic
Estimations of distortion of the modules for the mappings with $s$-averaged characteristic
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 4 (2010), pp. 18-31

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In the present work geometrical properties of mappings with $s$-averaged characteristic are investigating. For such mappings the estimation theorems for distortion of the module of a family of curves and the module of an image of a family of curves are proved. The obtained results enable to establish equivalence of the geometrical and analytical definitions of the mappings with $s$-averaged characteristic and give additional mathematical methods at their research.
Keywords: mappings with $s$-averaged characteristic, module of a family of curves, estimation of distortion of the module. 
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     author = {A. N. Malyutina and M. A. Elizarova},
     title = {Estimations of distortion of the modules for the mappings with $s$-averaged characteristic},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {18--31},
     publisher = {mathdoc},
     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2010_4_a1/}
}
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A. N. Malyutina; M. A. Elizarova. Estimations of distortion of the modules for the mappings with $s$-averaged characteristic. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 4 (2010), pp. 18-31. http://geodesic.mathdoc.fr/item/VTGU_2010_4_a1/