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

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

TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, no.2, pp.179-196, 2024 (ESCI)

• Publication Type: Article / Article
• Publication Date: 2024
• Journal Name: TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE
• Journal Indexes: Emerging Sources Citation Index (ESCI)
• Page Numbers: pp.179-196
• 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 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.