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

2014/06/19 by Guliyev, Vagif, Omarova, Mehriban, Sawano, Yoshihiro
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1406.4957

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 Rⁿ). 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,⋅) with x fixed.

Related

• Boundedness of Intrinsic Square Functions and their Commutators on Generalized Orlicz-Morrey Spaces
• Commutators of vector-valued intrinsic square functions on vector-valued generalized weighted Morrey spaces
• Intrinsic square functions on the weighted Morrey spaces
• Intrinsic square functions on functions spaces including weighted Morrey\n spaces
• Endpoint estimates for commutators of intrinsic square functions in the Morrey type spaces