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Mathematics > Functional Analysis

arXiv:1804.08718 (math)
[Submitted on 23 Apr 2018]

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

Authors:Vagif S. Guliyev, Fatih Deringoz
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Abstract:In this paper, we investigate the boundedness of maximal operator and its commutators in generalized Orlicz-Morrey spaces on the spaces of homogeneous type. As an application of this boundedness, we give necessary and sufficient condition for the Adams type boundedness of fractional integral and its commutators in these spaces. We also discuss criteria for the boundedness of these operators in Orlicz spaces.
Comments: 28 pages
Subjects: Functional Analysis (math.FA)
MSC classes: 42B20, 42B25, 42B35
Cite as: arXiv:1804.08718 [math.FA]
  (or arXiv:1804.08718v1 [math.FA] for this version)
  https://doi.org/10.48550/arXiv.1804.08718

Submission history

From: Fatih Deringoz [view email]
[v1] Mon, 23 Apr 2018 20:20:49 UTC (18 KB)
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