RIESZ POTENTIALS IN THE LOCAL VARIABLE MORREY-LORENTZ SPACES AND SOME APPLICATIONS

AYKOL KOCAKUŞAKLI C., Hasanov J.

MISKOLC MATHEMATICAL NOTES, cilt.25, sa.1, ss.141-151, 2024 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 1
  • Basım Tarihi: 2024
  • Doi Numarası: 10.18514/mmn.2024.4465
  • Dergi Adı: MISKOLC MATHEMATICAL NOTES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.141-151
  • Ankara Üniversitesi Adresli: Evet

Özet

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.