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The trace theorem, the Luzin \(N\)- and Morse-Sard properties for the sharp case of Sobolev-Lorentz mappings - MaRDI portal

The trace theorem, the Luzin \(N\)- and Morse-Sard properties for the sharp case of Sobolev-Lorentz mappings (Q1711032)

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scientific article; zbMATH DE number 7002654
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The trace theorem, the Luzin \(N\)- and Morse-Sard properties for the sharp case of Sobolev-Lorentz mappings
scientific article; zbMATH DE number 7002654

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    The trace theorem, the Luzin \(N\)- and Morse-Sard properties for the sharp case of Sobolev-Lorentz mappings (English)
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    16 January 2019
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    The authors obtain new interesting results in the study of the Luzin N- and Morse-Sard properties for the Sobolev mappings under minimal integrability assumptions initiated in their previous papers [Rev. Mat. Iberoam. 29, No. 1, 1--23 (2013; Zbl 1273.26017); J. Reine Angew. Math. 700, 93--112 (2015; Zbl 1322.46022); Indiana Univ. Math. J. 63, No. 6, 1703--1724 (2014; Zbl 1312.58012)].
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    Sobolev-Lorentz space
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    Luzin N-property
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    Morse-Sard theorem
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    trace theorem
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    Riesz potentials
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    approximation
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