Geodesic
Optimal Banach function space for a given cone of decreasing functions in~a~weighted $L_p$-space
Eurasian mathematical journal, Tome 6 (2015) no. 1, pp. 6-25

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The problem is considered of constructing optimal (i.e. minimal) generalized Banach function space or optimal Banach function space, containing the given cone of nonnegative, decreasing functions in a weighted Lebesgue space. 
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     author = {E. Bakhtigareeva},
     title = {Optimal {Banach} function space for a given cone of decreasing functions in~a~weighted $L_p$-space},
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E. Bakhtigareeva. Optimal Banach function space for a given cone of decreasing functions in~a~weighted $L_p$-space. Eurasian mathematical journal, Tome 6 (2015) no. 1, pp. 6-25. http://geodesic.mathdoc.fr/item/EMJ_2015_6_1_a0/