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

Abstract

We 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.