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arXiv:1311.6122 [math.FA]AbstractReferencesReviewsResources

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

Vagif S. Guliyev, Fatih Deringoz

Published 2013-11-24, updated 2013-11-26Version 2

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 $r$.

Comments: 22. arXiv admin note: substantial text overlap with arXiv:1310.6604
Categories: math.FA
Subjects: 42B20, 42B25, 42B35, 46E30
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