The Trace Theorem, the Luzin N- and Morse-Sard Properties for the Sharp Case of Sobolev-Lorentz Mappings
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We prove Luzin N- and Morse-Sard properties for mappings v : R n → R d of the Sobolev-Lorentz class W p , 1 k , p = n k (this is the sharp case that guaranties the continuity of mappings). Our main tool is a new trace theorem for Riesz potentials o... ...