2017
Том 69
№ 6

All Issues

Estimation of dilatations for mappings more general than quasiregular mappings

Salimov R. R., Sevost'yanov E. A.

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Abstract

We consider the so-called ring $Q$-mappings, which are natural generalizations of quasiregular mappings in a sense of Väisälä’s geometric definition of moduli. It is shown that, under the condition of nondegeneracy of these mappings, their inner dilatation is majorized by a function $Q(x)$ to within a constant depending solely on the dimension of the space.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 11, pp 1775-1782.

Citation Example: Salimov R. R., Sevost'yanov E. A. Estimation of dilatations for mappings more general than quasiregular mappings // Ukr. Mat. Zh. - 2010. - 62, № 11. - pp. 1531–1537.

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