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


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

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A. Romanov

Sobolev Institute of Mathematics SB RAS; Novosibirsk State University

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Email: asrom@math.nsc.ru
俄罗斯联邦, 4, Akad. Koptyuga pr, Novosibirsk, 630090; 1, Pirogova St, Novosibirsk, 630090


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