RIESZ POTENTIALS IN THE LOCAL VARIABLE MORREY-LORENTZ SPACES AND SOME APPLICATIONS
MISKOLC MATHEMATICAL NOTES, vol.25, no.1, pp.141-151, 2024 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 25 Issue: 1
- Publication Date: 2024
- Doi Number: 10.18514/mmn.2024.4465
- Journal Name: MISKOLC MATHEMATICAL NOTES
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
- Page Numbers: pp.141-151
- Ankara University Affiliated: Yes
Abstract
In this paper, we prove the boundedness of the Riesz potential I alpha in local variable Morrey-Lorentz spaces. Also we apply our results to particular operators such as fractional maximal operator, fractional Marcinkiewicz operator and fractional powers of some analytic semigroups in these spaces.