Boundedness criteria for the fractional integral and fractional maximal operator on Morrey spaces generated by the Gegenbauer differential operator


Ibrahimov E. J., Jafarova S., Bandaliyev R. A.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.46, no.18, pp.18605-18632, 2023 (SCI-Expanded) identifier identifier

  • Nəşrin Növü: Article / Article
  • Cild: 46 Say: 18
  • Nəşr tarixi: 2023
  • Doi nömrəsi: 10.1002/mma.9582
  • jurnalın adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Səhifə sayı: pp.18605-18632
  • Adres: Bəli

Qısa məlumat

In this paper, we establish necessary and sufficient conditions for the boundedness of the fractional integral on G-Morrey space generated by Gegenbauer differential operator. A similar problem is studied for the fractional maximal operator.