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) identifier identifier

  • 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.