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, cilt.178, sa.2, ss.179-196, 2024 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 178 Sayı: 2
  • Basım Tarihi: 2024
  • Dergi Adı: Transactions of A. Razmadze Mathematical Institute
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.179-196
  • Anahtar Kelimeler: BMO spac, Hardy inequality, Maximal operator, Singular integral operators, Two-weighted inequality, Weighted global Morrey-type space
  • Ankara Üniversitesi Adresli: Evet

Özet

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.