BOUNDEDNESS OF INTRINSIC SQUARE FUNCTIONS AND THEIR COMMUTATORS ON GENERALIZED WEIGHTED ORLICZ-MORREY SPACES

WOS: 000352238500005We shall investigate the boundedness of the intrinsic square functions and their commutators on generalized weighted Orlicz-Morrey spaces M-w(Phi,phi) (R-n). In all the cases, the conditions for the boundedness are given in terms of Zygmund-type integral inequalities on weights phi without assuming any monotonicity property of phi(x, .) with x fixed.Ahi Evran University Scientific Research ProjectsAhi Evran University [PYO.FEN.4003.13.003, PYO. FEN. 4003-2.13.007]The research of V. Guliyev and F. Deringoz was partially supported by the grant of Ahi Evran University Scientific Research Projects (PYO.FEN.4003.13.003) and (PYO. FEN. 4003-2.13.007). We thank the referee for hise/her valuable comments to the paper