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Approximation of function classes in spaces with mixed norm. (English. Russian original) Zbl 1158.46021
Sb. Math. 197, No. 8, 1121-1144 (2006); translation from Mat. Sb. 197, No. 8, 17-40 (2006).
The author establishes estimates of the order of approximation of Besov classes in Lorentz spaces with anisotropic norm.

MSC:
46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
41A10 Approximation by polynomials
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