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 Institute of Mathematics image/svg+xml
  • R. R. Salimov Institute of Mathematics image/svg+xml

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

Issue

Vol. 14 No. 1 (2017): Vol. 14 No. 1 (2017): Analysis and Applications

Section

Research papers

How to Cite

The estimations of the area of a disk image for Sobolev classes. (2017). Transactions of Institute of Mathematics, the NAS of Ukraine, 14(1), 39-45. https://trim.imath.kiev.ua/index.php/trim/article/view/97