Geodesic
On the boundedness of Hausdorff operators on Morrey-type spaces
Eurasian mathematical journal, Tome 8 (2017) no. 2, pp. 97-104

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We give conditions ensuring the boundedness of Hausdorff operators on Morrey-type spaces. Sharpness of the obtained results is studied, and classes of the Hausdorff operators are described for which the necessary and sufficient conditions coincide. 
@article{EMJ_2017_8_2_a6,
     author = {V. I. Burenkov and E. Liflyand},
     title = {On the boundedness of {Hausdorff} operators on {Morrey-type} spaces},
     journal = {Eurasian mathematical journal},
     pages = {97--104},
     publisher = {mathdoc},
     volume = {8},
     number = {2},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2017_8_2_a6/}
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V. I. Burenkov; E. Liflyand. On the boundedness of Hausdorff operators on Morrey-type spaces. Eurasian mathematical journal, Tome 8 (2017) no. 2, pp. 97-104. http://geodesic.mathdoc.fr/item/EMJ_2017_8_2_a6/