Geodesic
Comparison of Morrey spaces and Nikol'skii spaces
Eurasian mathematical journal, Tome 12 (2021) no. 1, pp. 9-20

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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. 
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     author = {V. I. Burenkov and V. S. Guliyev and T. V. Tararykova},
     title = {Comparison of {Morrey} spaces and {Nikol'skii} spaces},
     journal = {Eurasian mathematical journal},
     pages = {9--20},
     publisher = {mathdoc},
     volume = {12},
     number = {1},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2021_12_1_a1/}
}
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V. I. Burenkov; V. S. Guliyev; T. V. Tararykova. Comparison of Morrey spaces and Nikol'skii spaces. Eurasian mathematical journal, Tome 12 (2021) no. 1, pp. 9-20. http://geodesic.mathdoc.fr/item/EMJ_2021_12_1_a1/