We prove Luzin - and Morse-Sard properties for mappings of the Sobolev-Lorentz class , (this is the sharp case that guaranties the continuity of mappings). Our main tool is a new trace theorem for Riesz potentials of Lorentz functions for the limiting case . Using these results, we find also some very natural approximation and differentiability properties for functions in with exceptional set of small Hausdorff content.
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| http://dx.doi.org/10.1007/s12220-017-9936-7 | DOI Listing |
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