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

AYDOĞDU, AYŞENUR; AYKOL KOCAKUŞAKLI, CANAY; Hasanov, Javanshir; Musayev, Ali

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, Scopus)

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.