Geodesic
Fractional modified Hardy and Hardy--Littlewood operators and their commutators
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2019), pp. 16-26

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For modified fractional Hardy and Hardy–Littlewood operators and its commutators with symbol from a central mean oscillation space we study conditions for its boundedness from one modified Herz space to another. The sharpness of the result concerning commutators of fractional Hardy–Littlewood operator is established.
Keywords: modified Hardy and Hardy–Littlewood operators, commutator, modified Herz space
Mots-clés : $CMO^q$ space. 
@article{IVM_2019_9_a1,
     author = {S. S. Volosivets and B. I. Golubov},
     title = {Fractional modified {Hardy} and {Hardy--Littlewood} operators and their commutators},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {16--26},
     publisher = {mathdoc},
     number = {9},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2019_9_a1/}
}
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S. S. Volosivets; B. I. Golubov. Fractional modified Hardy and Hardy--Littlewood operators and their commutators. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2019), pp. 16-26. http://geodesic.mathdoc.fr/item/IVM_2019_9_a1/