Аннотация:
We consider two popular function spaces: the Morrey spaces and the Nikol'skii spaces and investigate the relationship between them in the one-dimensional case. In particular, we prove that, under the appropriate assumptions on the numerical parameters, their restrictions to the class of functions f of the form $f(x) = g(|x|)$, where g is a non-negative non-increasing function on $[0,\infty)$, coincide.
Ключевые слова и фразы:
Morrey spaces, Nikol'skii spaces.
Grant of the 1st Azerbaijan-Russia Joint Grant Competition
EIF-BGM-4-RFTF-1/2017-21/01/1-M-08
The research of V.I. Burenkov and T.V. Tararykova was supported by the Russian Foundation for Basic Research (project no. 18-51-06005). The research of V.S. Guliyev was supported by the grant of the 1st Azerbaijan-Russia Joint Grant Competition (grant no. EIF-BGM-4-RFTF-1/2017-21/01/1-M-08).
Образец цитирования:
V. I. Burenkov, V. S. Guliyev, T. V. Tararykova, “Comparison of Morrey spaces and Nikol'skii spaces”, Eurasian Math. J., 12:1 (2021), 9–20
Цитирование в формате AMSBIB
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