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Siberian Journal of Pure and Applied Mathematics, 2017, Volume 17, Issue 2, Pages 82–98
DOI: https://doi.org/10.17377/PAM.2017.17.207 (Mi vngu440) 		 
Absolute continuity of functions in Sobolev spaces and modules of families of hypersurfaces elated to the Lorentz spaces

A. S. Romanovab

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
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DOI: https://doi.org/10.17377/PAM.2017.17.207
Abstract: We study traces of functions In Sobolev–Lorentz spaces on Lipschitz hypersurfaces. We consider some aspects concerning the $(n-1)$-absolute continuity of functions.
Keywords: Lorentz spaces, Sobolev spaces, modulus of the family of hypersurfaces, absolute continuity.
Funding agency Grant number
Russian Science Foundation 16-41-02004
Received: 17.08.2016
English version:
Journal of Mathematical Sciences, 2018, Volume 231, Issue 2, Pages 255–266
DOI: https://doi.org/10.1007/s10958-018-3820-2
Document Type: Article
UDC: 517.51
Language: Russian
Citation: A. S. Romanov, “Absolute continuity of functions in Sobolev spaces and modules of families of hypersurfaces elated to the Lorentz spaces”, Sib. J. Pure and Appl. Math., 17:2 (2017), 82–98; J. Math. Sci., 231:2 (2018), 255–266
Citation in format AMSBIB
\Bibitem{Rom17}
\by A.~S.~Romanov
\paper Absolute continuity of functions in Sobolev spaces and modules of families of hypersurfaces elated to the Lorentz spaces
\jour Sib. J. Pure and Appl. Math.
\yr 2017
\vol 17
\issue 2
\pages 82--98
\mathnet{http://mi.mathnet.ru/vngu440}
\crossref{https://doi.org/10.17377/PAM.2017.17.207}
\transl
\jour J. Math. Sci.
\yr 2018
\vol 231
\issue 2
\pages 255--266
\crossref{https://doi.org/10.1007/s10958-018-3820-2}
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