Abstract
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.
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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.
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Russian Text © The Author(s), 2019, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2019, No. 9, pp. 16–26.
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Volosivets, S.S., Golubov, B.I. Modified Fractional Hardy and Hardy-Littlewood Operators and Their Commutators. Russ Math. 63, 12–21 (2019). https://doi.org/10.3103/S1066369X19090020
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DOI: https://doi.org/10.3103/S1066369X19090020