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

Avsar, Cahit; AYKOL KOCAKUŞAKLI, CANAY; Hasanov, Javanshir; Musayev, Ali

doi:10.32513/asetmj/19322008236

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)

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.