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Embedding theorems for a class of functions. (Russian) Zbl 0638.41031
The author considers classes of Besov type of functions in mixed metric \(L_ p\), \(p=(p_ 1,...,p_ n)\) and obtains some imbedding theorems. In case \(p_ 1=p_ 2=...=p_ n\) the obtained results coincide with known results of M. K. Potapov [Tr. Mat. Inst. Steklova 156, 143-156 (1980; Zbl 0454.46030)].
Reviewer: A.G.Bashakov
MSC:
41A65 Abstract approximation theory (approximation in normed linear spaces and other abstract spaces)
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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