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Boundedness of Intrinsic Square Functions and their Commutators on Generalized Orlicz-Morrey Spaces (1311.6122v2)
Published 24 Nov 2013 in math.FA
Abstract: We study the boundedness of intrinsic square functions and their commutators on generalized Orlicz-Morrey spaces $M{\Phi,\varphi}(\mathbb{R}n)$. In all the cases the conditions for the boundedness are given either in terms of Zygmund-type integral inequalities on weights $\varphi(x,r)$ without assuming any monotonicity property of $\varphi(x,r)$ on $r$.