Geodesic
Growth theorems on classes of normalized locally quasiconformal mappings
Problemy analiza, Tome 2 (2013) no. 2, pp. 3-20

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The asymptotic sharp growth theorems are proved in the classes of normalized locally quasiconformal automorphisms of the unit disk with the given majorant of the Laurentev's characteristic. The main results are obtained by the means of the methods of extremal lengths, symmetrization and some new method of estimation of distortion of modules of double connected domains under the locally quasiconformal mappings.
Keywords: locally quasiconformal mapping; moduli of families of curves; growth theorems. 
@article{PA_2013_2_2_a0,
     author = {S. Yu. Graf},
     title = {Growth theorems on classes of normalized locally quasiconformal mappings},
     journal = {Problemy analiza},
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     publisher = {mathdoc},
     volume = {2},
     number = {2},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PA_2013_2_2_a0/}
}
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S. Yu. Graf. Growth theorems on classes of normalized locally quasiconformal mappings. Problemy analiza, Tome 2 (2013) no. 2, pp. 3-20. http://geodesic.mathdoc.fr/item/PA_2013_2_2_a0/