Email this article Absolute Continuity of Sobolev Functions and Moduli of Families of Hypersurfaces Related to Lorentz Spaces
- Authors: Romanov A.S.1,2
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Affiliations:
- Sobolev Institute of Mathematics SB RAS
- Novosibirsk State University
- Issue: Vol 231, No 2 (2018)
- Pages: 255-266
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/241136
- DOI: https://doi.org/10.1007/s10958-018-3820-2
- ID: 241136
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Abstract
We study traces of functions in Sobolev–Lorentz spaces on Lipschitz hypersurfaces. Some aspects concerning the (n − 1)-absolute continuity are studied.
About the authors
A. S. Romanov
Sobolev Institute of Mathematics SB RAS; Novosibirsk State University
Author for correspondence.
Email: asrom@math.nsc.ru
Russian Federation, 4, Akad. Koptyuga pr, Novosibirsk, 630090; 1, Pirogova St, Novosibirsk, 630090
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