Geodesic
Modified Hardy and Hardy--Littlewood fractional operators in Morrey--Herz spaces and their commutators in weighted spaces
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part 2, Tome 171 (2019), pp. 70-77

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In this paper, we obtain sufficient conditions of the boundedness of modified fractional Hardy–Littlewood and Hardy operators from one modified Morrey–Herz space to another. We also study the boundedness of commutators of these operators from one weighted space with a power weight to another.
Keywords: Hardy–Littlewood fractional operator, Hardy fractional operator, modified Morrey–Herz space, weighted space $L^q$, commutator. 
@article{INTO_2019_171_a5,
     author = {S. S. Volosivets and B. I. Golubov},
     title = {Modified {Hardy} and {Hardy--Littlewood} fractional operators in {Morrey--Herz} spaces and their commutators in weighted spaces},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {70--77},
     publisher = {mathdoc},
     volume = {171},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2019_171_a5/}
}
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S. S. Volosivets; B. I. Golubov. Modified Hardy and Hardy--Littlewood fractional operators in Morrey--Herz spaces and their commutators in weighted spaces. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part 2, Tome 171 (2019), pp. 70-77. http://geodesic.mathdoc.fr/item/INTO_2019_171_a5/