Two-weight inequalities for Riesz potential and its commutators on weighted global Morrey-type spaces GMp,?,? ? (Rn)

Avsar C., AYKOL KOCAKUŞAKLI C., Hasanov J. J., Musayev A. M.

ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL, vol.16, no.1, pp.33-50, 2023 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 16 Issue: 1
  • Publication Date: 2023
  • Doi Number: 10.32513/asetmj/19322008236
  • Journal Name: ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.33-50
  • Keywords: BMO space, commutator, maximal operator, Riesz potential, weighted global Morrey-type space, weighted Lebesgue space
  • Ankara University Affiliated: Yes

Abstract

In this paper we prove the two-weight boundedness of Riesz potential and its commutators on weighted global Morrey-type spaces GMp,theta omega,phi(Rn). Also we give some applications of our results.