TWO-WEIGHTED INEQUALITIES FOR MAXIMAL, SINGULAR INTEGRAL OPERATORS AND THEIR COMMUTATORS IN<i> G</i> M <sub>p,θ,ω,φ </sub>(<i> R</i> n ) SPACES


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

TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, sa.2, ss.179-196, 2024 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2024
  • Dergi Adı: TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.179-196
  • 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 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.