2017
Том 69
№ 9

All Issues

Normality of the Orlicz - Sobolev classes

Ryazanov V. I., Salimov R. R., Sevost'yanov E. A.


Abstract

We establish a series of new criteria of equicontinuity and, hence, normality of the mappings of Orlicz – Sobolev classes in terms of inner dilatations.

Citation Example: Ryazanov V. I., Salimov R. R., Sevost'yanov E. A. Normality of the Orlicz - Sobolev classes // Ukr. Mat. Zh. - 2016. - 68, № 1. - pp. 106-116.