A characterization for fractional integral and its commutators in Orlicz\n and generalized Orlicz-Morrey spaces on spaces of homogeneous type

2018/04/23 by Vagif S. Guliyev, Guliyev, Vagif S., Fatih Deringöz +1
Mathematics · #42B20 #42B25 #42B35 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #FOS: Mathematics #Functional Analysis (math.FA)

paper · pdf · doi:10.48550/arxiv.1804.08718

openalex publication_date 2018/04/23 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

In this paper, we investigate the boundedness of maximal operator and its\ncommutators in generalized Orlicz-Morrey spaces on the spaces of homogeneous\ntype. As an application of this boundedness, we give necessary and sufficient\ncondition for the Adams type boundedness of fractional integral and its\ncommutators in these spaces. We also discuss criteria for the boundedness of\nthese operators in Orlicz spaces.\n

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• Commutators of integral operators with functions in Campanato spaces on Orlicz-Morrey spaces
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• A characterization for Adams-type boundedness of the fractional maximal operator on generalized Orlicz-Morrey spaces
• Characterization of the boundedness of generalized fractional integral and maximal operators on Orlicz-Morrey and weak Orlicz-Morrey spaces