On embedding theorems for function spaces with mixed logarithmic smoothness
Akishev G.
February 2025Springer-Verlag Italia s.r.l.
Rendiconti del Circolo Matematico di Palermo
2025#74Issue 1
In the paper the Lorentz space Lp,τ(Tm), 2π of periodic functions of many variables and spaces with mixed logarithmic smoothness is considered. Equivalent norms of a space with mixed logarithmic smoothness are found and embedding theorems are proved.
Best approximation by “angle” , Logarithmic smoothness , Lorentz space , Nikol’skii–Besov class , Trigonometric polynomial
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Lomonosov Moscow University, Kazakhstan Branch, St. Kazhymukan, 11, Astana, 010010, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Pushkin St. 125, Almaty, 050010, Kazakhstan
Lomonosov Moscow University
Institute of Mathematics and Mathematical Modeling
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