GEGENBAUER FRACTIONAL MAXIMAL FUNCTION AND ITS COMMUTATORS ON GEGENBAUER-ORLICZ SPACES

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

TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, vol.177, no.2, pp.217-236, 2023 (ESCI) identifier identifier

  • Nəşrin Növü: Article / Article
  • Cild: 177 Say: 2
  • Nəşr tarixi: 2023
  • jurnalın adı: TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE
  • Jurnalın baxıldığı indekslər: Emerging Sources Citation Index (ESCI), Scopus
  • Səhifə sayı: pp.217-236
  • Adres: Bəli

Qısa məlumat

In this paper, we find the necessary and sufficient conditions for the boundedness of Gegenbauer fractional (G-fractional) maximal operator MaG in Gegenbauer-Olicz (G-Orlicz) spaces. As an application of these results, we consider the boundedness of G-fractional maximal commutator Mb,a G in G-Orlicz spaces.