INTEGRAL OPERATORS AND THEIR COMMUTATORS IN VARIABLE EXPONENT GENERALIZED WEIGHTED MORREY–GULIYEV SPACES

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

Journal of Mathematical Inequalities, cilt.20, sa.1, ss.181-202, 2026 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 1
  • Basım Tarihi: 2026
  • Doi Numarası: 10.7153/jmi-2026-20-12
  • Dergi Adı: Journal of Mathematical Inequalities
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.181-202
  • Anahtar Kelimeler: Calderón-Zygmund operator, commutator, embedding, generalized fractional integral operator, Maximal operator, weighted Morrey-Guliyev spaces
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper we consider the variable exponent generalized weighted Morrey-Guliyev spaces GM^p(·),θ(·),ω(·),φ(Ω) with variable exponents p(x), θ(r) and a general function ω(x,r) defining the Morrey-type norm. In case of unbounded sets Ω⊆ℝ^n we prove the boundedness of Hardy-Littlewood maximal operator, generalized fractional integral operators and Calderón-Zygmund singular integral operators in weighted Morrey-Guliyev spaces. Furthermore, we investigate the boundedness of the commutators of abovementioned integral operators in weighted Morrey-Guliyev spaces.