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arXiv · 1406.4957

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

Vagif Guliyev·Mehriban Omarova·Yoshihiro Sawano
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Abstract

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

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Vagif Guliyev, Mehriban Omarova, Yoshihiro Sawano. 2014-06-19. Boundedness of intrinsic square functions and their commutators on generalized weighted Orlicz-Morrey spaces. https://arxiv.org/abs/1406.4957

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