A characterization of two-weighted inequalities for singular operators and their commutators in generalized weighted Morrey spaces on spaces of homogeneous type

AYDOĞDU A., AYKOL KOCAKUŞAKLI C., Hasanov J. J.

Filomat, vol.39, no.1, pp.213-228, 2025 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 39 Issue: 1
  • Publication Date: 2025
  • Doi Number: 10.2298/fil2501213a
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.213-228
  • Keywords: Calderón-Zygmund singular operators, commutator, generalized weighted Morrey space, spaces of homogeneous type
  • Ankara University Affiliated: Yes

Abstract

In this paper we give a characterization of two-weighted inequalities for singular operators and their commutators in generalized weighted Morrey spaces on spaces of homogeneous type (Formula Presented). We prove the boundedness of the Calderón-Zygmund singular operators T and their commutators [b, T] from the spaces (Formula Presented) to the spaces (Formula Presented), where 1 < p < ∞, 0 < δ < 1 and (Formula Presented). Finally we 2 (X) as applications of our results. give some examples for singular integral operators on (Formula Presented).