On embedding theorems of spaces of functions with mixed logarithmic smoothness

2023/08/13 by Akishev, G.
#41A10 and 41A25 #42A05 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2308.06737

Abstract

The article considers the Lorentz space L_p,τ(\mathbbT^m), 2π of periodic functions of many variables and spaces with mixed logarithmic smoothness. Equivalent norms of a space with mixed logarithmic smoothness are found and embedding theorems are proved.

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