Boundedness of intrinsic square functions and their commutators on generalized weighted Orlicz-Morrey spaces

preprint2014arXivOpen access

Abstract

We shall investigate the boundedness of the intrinsic square functions and their commutators on generalized weighted Orlicz-Morrey spaces MwΦ,φ(Rn)M^{Φ,φ}_{w}({\mathbb R}^n). In all the cases, the conditions for the boundedness are given in terms of Zygmund-type integral inequalities on weights φφ without assuming any monotonicity property of φ(x,⋅)φ(x,\cdot) with xx fixed.

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