COMPARISON OF MORREY SPACES AND NIKOL'SKII SPACES

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. © 2021. All Rights Reserved.

Authors
Burenkov V.I. 1, 2 , Guliyev V.S. 1, 2 , Tararykova T.V. 3, 4
Journal
Eurasian Mathematical Journal
Publisher
Eurasian Mathematical Journal
Number of issue
1
Language
English
Pages
9-20
Status
Published
Link
External link
DOI
10.32523/2077-9879-2021-12-1-09-20
Volume
12
Year
2021
Organizations
  • 1 Tamara Vassil'evna Tararykova S.M. Nikol'skii Mathematical Institute, Peoples Friendship University of Russia (RUDN University), 6 Miklukho Maklay St, Moscow, 117198, Russian Federation
  • 2 Cardiff School of Mathematics Cardiff University Senghennydd Rd, Cardiff, CF4 24AG, United Kingdom
  • 3 Institute of Applied Mathematics Baku State University 23 B. Vaxabzade St AZ1148, Baku, Azerbaijan
  • 4 Institute of Mathematics and Mechanics Azerbaijan National Academy of Sciences 9 B. Vaxabzade St AZ1141, Baku, Azerbaijan
Keywords
Morrey spaces; Nikol'skii spaces
Date of creation
20.04.2021
Date of change
21.07.2021
Short link
https://repository.rudn.ru/en/records/article/record/72204/
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