Boundedness of Intrinsic Square Functions and their Commutators on Generalized Orlicz-Morrey Spaces

Abstract

We study the boundedness of intrinsic square functions and their commutators on generalized Orlicz-Morrey spaces $M^{\Phi ,\phi }({\mathbb{R}}^n)$. In all the cases the conditions for the boundedness are given either in terms of Zygmund-type integral inequalities on weights $\phi (x,r)$ without assuming any monotonicity property of $\phi (x,r)$ on $r$.

arXiv comment22. arXiv admin note: substantial text overlap with arXiv:1310.6604