COMPARISON OF MORREY SPACES AND NIKOL'SKII SPACES
   
Yazarlar (3)
V. I. Burenkov
Rudn University, Rusya Federasyonu
Prof. Dr. Vagıf GULIYEV Rudn University, Rusya Federasyonu
T. V. Tararykova
Baku State University, Azerbaycan
Makale Türü Açık Erişim Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale)
Dergi Adı Eurasian Mathematical Journal
Dergi ISSN 2077-9879 Wos Dergi Scopus Dergi
Makale Dili İngilizce Basım Tarihi 01-2021
Cilt / Sayı / Sayfa 12 / 1 / 9–20 DOI 10.32523/2077-9879-2021-12-1-09-20
Makale Linki https://doi.org/10.32523/2077-9879-2021-12-1-09-20
Özet
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,∞), coincide.
Anahtar Kelimeler
Morrey spaces | Nikol'skii spaces