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Title: Absolute Continuity of Sobolev Functions and Moduli of Families of Hypersurfaces Related to Lorentz Spaces

Abstract

We study traces of functions in Sobolev–Lorentz spaces on Lipschitz hypersurfaces. Some aspects concerning the (n − 1)-absolute continuity are studied.

Authors:
 [1]
  1. Sobolev Institute of Mathematics SB RAS (Russian Federation)
Publication Date:
OSTI Identifier:
22771205
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 231; Journal Issue: 2; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; FUNCTIONS; MATHEMATICAL SPACE; SURFACES

Citation Formats

Romanov, A. S., E-mail: asrom@math.nsc.ru. Absolute Continuity of Sobolev Functions and Moduli of Families of Hypersurfaces Related to Lorentz Spaces. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3820-2.
Romanov, A. S., E-mail: asrom@math.nsc.ru. Absolute Continuity of Sobolev Functions and Moduli of Families of Hypersurfaces Related to Lorentz Spaces. United States. doi:10.1007/S10958-018-3820-2.
Romanov, A. S., E-mail: asrom@math.nsc.ru. Tue . "Absolute Continuity of Sobolev Functions and Moduli of Families of Hypersurfaces Related to Lorentz Spaces". United States. doi:10.1007/S10958-018-3820-2.
@article{osti_22771205,
title = {Absolute Continuity of Sobolev Functions and Moduli of Families of Hypersurfaces Related to Lorentz Spaces},
author = {Romanov, A. S., E-mail: asrom@math.nsc.ru},
abstractNote = {We study traces of functions in Sobolev–Lorentz spaces on Lipschitz hypersurfaces. Some aspects concerning the (n − 1)-absolute continuity are studied.},
doi = {10.1007/S10958-018-3820-2},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 2,
volume = 231,
place = {United States},
year = {2018},
month = {5}
}