2018
DOI: 10.7153/jmi-2018-12-62
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Generalized fractional maximal functions in Lorentz spaces Λ

Abstract: In this paper we give the complete characterization of the boundedness of the generalized fractional maximal operator2010 Mathematics Subject Classification. 42B25, 42B35.

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“…Note that various variants of the generalized fractional-maximal function were previously considered in [9][10][11][12][13][14][15]. For such variants of a generalized fractional-maximal function, the questions of boundedness in Lorentz spaces were considered in [8], [11].…”
Section: Introductionmentioning
confidence: 99%
“…Note that various variants of the generalized fractional-maximal function were previously considered in [9][10][11][12][13][14][15]. For such variants of a generalized fractional-maximal function, the questions of boundedness in Lorentz spaces were considered in [8], [11].…”
Section: Introductionmentioning
confidence: 99%