TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, sa.2, ss.179-196, 2024 (ESCI)
In this paper, we prove the two-weighted boundedness of maximal operator, singular integral operators and their commutators in weighted global Morrey-type spaces GM (p,theta ,omega ,phi) ( R-n ) . Furthermore, we give weighted global Morrey-type a priori estimates and a priori estimates for non-divergent elliptic equations in GM( p,theta,omega ,phi )( R-n ) spaces as applications.