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

2013/11/24 by Vagif S. Guliyev, Guliyev, Vagif S., Fatih Deringöz +1
Mathematics · #42B20 #42B25 #42B35 #46E30 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1311.6122

openalex publication_date 2013/11/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the boundedness of intrinsic square functions and their commutators on generalized Orlicz-Morrey spaces M^Φ,φ(ℝⁿ). In all the cases the conditions for the boundedness are given either in terms of Zygmund-type integral inequalities on weights φ(x,r) without assuming any monotonicity property of φ(x,r) on r.

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• Boundedness of intrinsic square functions on generalized Morrey spaces
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