Relatively Compact Sets in Variable Exponent Morrey Spaces on Metric Spaces

We study a characterization of the precompactness of sets in variable exponent Morrey spaces on bounded metric measure spaces. Totally bounded sets are characterized from several points of view for the case of variable exponent Morrey spaces over metric measure spaces. This characterization is new in the case of constant exponents. © 2021, The Author(s).

Authors
Bandaliyev R.A. 1, 2 , Górka P.3 , Guliyev V.S. 1, 2, 4, 5 , Sawano Y. 6
Journal
Mediterranean Journal of Mathematics
Publisher
Birkhauser Verlag AG
Number of issue
6
Language
English
Status
Published
Link
External link
DOI
10.1007/s00009-021-01828-z
Number
232
Volume
18
Year
2021
Organizations
  • 1 People Friendship University of Russia (RUDN University), 6 Maklaya st, Moscow, 117198, Russian Federation
  • 2 Institute of Mathematics and Mechanics of NAS of Azerbaijan, Baku, Azerbaijan
  • 3 Department of Mathematics and Information Sciences, Warsaw University of Technology, Ul. Koszykowa 75, Warsaw, 00-662, Poland
  • 4 Department of Mathematics, Dumlupinar University, Kutahya, Turkey
  • 5 Institute of Applied Mathematics, Baku State University, Baku, Azerbaijan
  • 6 Department of Mathematics and Information Science, Tokyo Metropolitan University, Hachioji-shi, Tokyo, Japan
Keywords
compactness; Metric measure spaces; Morrey spaces; variable exponent Lebesgue spaces
Date of creation
16.12.2021
Date of change
16.12.2021
Short link
https://repository.rudn.ru/en/records/article/record/76472/
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