Geodesic
On the boundedness of the anisotropic fractional maximal operator from anisotropic complementary Morrey-type spaces to anisotropic Morrey-type spaces
Eurasian mathematical journal, Tome 4 (2013) no. 1, pp. 7-20

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The problem of the boundedness of the anisotropic fractional maximal operator $M_\alpha^d$ from anisotropic complementary Morrey-type spaces to anisotropic Morrey-type spaces is reduced to the problem of boundedness of the dual Hardy operator in weighted $L_p$-spaces on the cone of non-negative non-increasing functions, which allows obtaining sharp sufficient conditions for the boundedness of $M_\alpha^d$. 
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     title = {On the boundedness of the anisotropic fractional maximal operator from anisotropic complementary {Morrey-type} spaces to anisotropic {Morrey-type} spaces},
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A. Akbulut; V. S. Guliev; Sh. A. Muradova. On the boundedness of the anisotropic fractional maximal operator from anisotropic complementary Morrey-type spaces to anisotropic Morrey-type spaces. Eurasian mathematical journal, Tome 4 (2013) no. 1, pp. 7-20. http://geodesic.mathdoc.fr/item/EMJ_2013_4_1_a1/