On the exponential-power growth at infinity of homeomorphisms of certain classes
DOI:
https://doi.org/10.3842/umzh.v78i9-10.9807Keywords:
p-modulus of a family of paths, lower Q-homeomorphisms with respect to the p-modulus, mapping of finite distortion, p-angular dilatation, condenser, p-capacity of condenserAbstract
UDC 517.54
Sufficient conditions are established for the exponential-power growth at infinity of lower $Q$-homeomorphisms with respect to the $p$-modulus with $1<p<2$ in the complex plane. The results obtained in the work are applied to the study of the asymptotic behavior of homeomorphisms with finite distortion.
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