Riesz potential and its commutators in generalized weighted Morrey spaces defined on Carleson curves

Geleri F., AYKOL KOCAKUŞAKLI C., Hasanov J. J.

Filomat, cilt.39, sa.7, ss.2317-2330, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 7
  • Basım Tarihi: 2025
  • Doi Numarası: 10.2298/fil2507317g
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2317-2330
  • Anahtar Kelimeler: Carleson curve, commutator, generalized weighted Morrey space, Riesz potential
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper we take up a characterization of weighted inequalities for Riesz potential and its commutators in generalized weighted Morrey spaces (Formula Presented) defined on Carleson curves Γ with the class of weights Fp,q. We prove the boundedness of Riesz potential (Formula Presented) and its commutator (Formula Presented) from the spaces (Formula Presented) to the spaces (Formula Presented) are positive measurable functions, (ω1, ω2) ∈ Fp,q (Γ) and b ∈ BMO(Γ).