The estimations of the area of a disk image for Sobolev classes

Lower and upper estimates of an area for image of a disk under regular homeomorphisms of the Sobolev class $W^{1,1}_{\textrm{loc}}$, havingthe Luzin $N$-property, are established in terms of an angular $p$-dilatation.

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Bibliographic Details
Date:2017
Main Authors: Bilet, V. V., Klishchyk, B. A., Salimov, R. R., Билет, В. В., Клищук, Б. А., Салимов, Р. Р.
Format: Article
Language:Russian
Published: Інститут математики НАН України 2017
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/97
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine