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, cilt.16, sa.1, ss.33-50, 2023 (ESCI)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 16 Sayı: 1
Basım Tarihi: 2023
Doi Numarası: 10.32513/asetmj/19322008236
Dergi Adı: ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
Sayfa Sayıları: ss.33-50
Anahtar Kelimeler: BMO space, commutator, maximal operator, Riesz potential, weighted global Morrey-type space, weighted Lebesgue space
Ankara Üniversitesi Adresli: Evet

Özet

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.