Integral Equations and Operator Theory.
Springer Basel.
Vol. 90.
2018.
Relatively compact sets in variable-exponent Lebesgue spaces
We study totally bounded sets in variable Lebesgue spaces. The full characterization of this kind of sets is given for the case of variable Lebesgue space on metric measure spaces. Furthermore, the suffcient conditions for compactness are shown without assuming log-Hölder continuity of the exponent. © 2018, Duke University Press.
Authors
Bandaliyev R.
1,
2
,
Górka P.L.3
Number of issue
2
Language
English
Pages
331-346
Status
Published
Link
Volume
12
Year
2018
Organizations
- 1 Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, Vaxabzade str. 9, Baku, AZ1141, Azerbaijan
- 2 S.M. Nikol'skii Institute of Mathematics, Rudn University, 6 Miklukho-Maklaya, Moscow, 117198, Russian Federation
- 3 Department of Mathematics and Information Sciences, Warsaw University of Technology, Ul. Koszykowa 75, Warsaw, 00-662, Poland
Keywords
Lebesgue spaces with variable exponent; Metric measure spaces; Riesz-Kolmogorov theorem
Date of creation
19.10.2018
Date of change
19.10.2018
Share
Other records
Performance Evaluation.
Elsevier B.V..
Vol. 120.
2018.
P. 1-19