TY - JOUR
AU - R. R. Salimov
AU - E. A. Sevost'yanov
PY - 2017/06/25
Y2 - 2020/11/25
TI - On the absolute continuity of mappings distorting the moduli
of cylinders
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 69
IS - 6
SE - Short communications
DO -
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/1741
AB - We consider the mappings satisfying one modular inequality with respect to cylinders in the space. The distortion ofmodulus is majorized by an integral depending on a certain locally integrable function. We also prove a result on theabsolute continuity of the analyzed mappings on lines.
ER -