Modified Fractional Hardy and Hardy-Littlewood Operators and Their Commutators
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For modified fractional Hardy and Hardy-Littlewood operators and their commutators with symbol from a central mean oscillation space, considered as acting from a modified Herz space into another one, we find conditions of their boundedness. The sharpness of the result concerning commutators of the fractional Hardy-Littlewood operator is established.
Key wordsmodified Hardy and Hardy-Littlewood operators commutator modified Herz space CMOq space
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The authors express their gratitude to the anonymous referee for helpful remarks which allow to improve the text of the paper.