Abstract
We shall investigate the boundedness of the intrinsic square functions and their commutators on generalized weighted Orlicz--Morrey spaces $M^{\Phi,\varphi}_{w}({\mathbb{R}}^n)$. In all the cases, the conditions for the boundedness are given in terms of Zygmund-type integral inequalities on weights $\varphi$ without assuming any monotonicity property of $\varphi(x,\cdot)$ with $x$ fixed.
Citation
Vagif Guliyev. Mehriban Omarova. Yoshihiro Sawano. "Boundedness of intrinsic square functions and their commutators on generalized weighted Orlicz--Morrey spaces." Banach J. Math. Anal. 9 (2) 44 - 62, 2015. https://doi.org/10.15352/bjma/09-2-5
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