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On the absolute continuity of mappings distorting the moduli of cylinders

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.

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Bibliographic Details
Date:	2017
Main Authors:	Salimov, R. R., Sevost'yanov, E. A., Салимов, Р. Р., Севостьянов, Е. А.
Format:	Article
Language:	Russian
Published:	Institute of Mathematics, NAS of Ukraine 2017
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/1741
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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