Оценки площади образа круга для классов Соболева

V. V. Bilet; B. A. Klishchyk; R. R. Salimov

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

Authors

V. V. Bilet Ин-т прикладной математики и механики НАН Украины
B. A. Klishchyk Институт математики НАН Украины
R. R. Salimov Институт математики НАН Украины

Abstract

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

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Published

2017-04-25

How to Cite

Bilet, V. V., Klishchyk, B. A., & Salimov, R. R. (2017). The estimations of the area of a disk image for Sobolev classes. Transactions of Institute of Mathematics, the NAS of Ukraine, 14(1), 39–45. Retrieved from https://trim.imath.kiev.ua/index.php/trim/article/view/97