TWO-WEIGHTED INEQUALITIES FOR MAXIMAL, SINGULAR INTEGRAL OPERATORS AND THEIR COMMUTATORS IN GMp,θ,ω,φ(Rn) SPACES

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

Transactions of A. Razmadze Mathematical Institute, vol.178, no.2, pp.179-196, 2024 (ESCI, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 178 Issue: 2
  • Publication Date: 2024
  • Journal Name: Transactions of A. Razmadze Mathematical Institute
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.179-196
  • Keywords: BMO spac, Hardy inequality, Maximal operator, Singular integral operators, Two-weighted inequality, Weighted global Morrey-type space
  • Ankara University Affiliated: Yes

Abstract

In this paper, we prove the two-weighted boundedness of maximal operator, singular integral operators and their commutators in weighted global Morrey-type spaces GMp,θ,ω,φ(Rn). Furthermore, we give weighted global Morrey-type a priori estimates and a priori estimates for non-divergent elliptic equations in GMp,θ,ω,φ(Rn) spaces as applications.