2017
Том 69
№ 9

All Issues

On the absolute continuity of mappings distorting the moduli of cylinders

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


Abstract

We consider the mappings satisfying one modular inequality with respect to cylinders in the space. The distortion of modulus is majorized by an integral depending on a certain locally integrable function. We also prove a result on the absolute continuity of the analyzed mappings on lines.

Citation Example: Salimov R. R., Sevost'yanov E. A. On the absolute continuity of mappings distorting the moduli of cylinders // Ukr. Mat. Zh. - 2017. - 69, № 6. - pp. 860-864.