Geodesic
Cones of Functions with Monotonicity Conditions for Generalized Bessel and Riesz Potentials
Matematičeskie zametki, Tome 104 (2018) no. 3, pp. 356-373

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Order covering and order equivalence for cones of functions with monotonicity properties related to decreasing rearrangements of generalized Bessel and Riesz potentials are considered.
Keywords: rearrangement-invariant spaces, generalized Bessel and Riesz potentials, cones of decreasing rearrangements, embedding criteria, order covering and order equivalence of cones. 
@article{MZM_2018_104_3_a3,
     author = {N. A. Bokaev and M. L. Gol'dman and G. Zh. Karshygina},
     title = {Cones of {Functions} with {Monotonicity} {Conditions} for {Generalized} {Bessel} and {Riesz} {Potentials}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {356--373},
     publisher = {mathdoc},
     volume = {104},
     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2018_104_3_a3/}
}
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N. A. Bokaev; M. L. Gol'dman; G. Zh. Karshygina. Cones of Functions with Monotonicity Conditions for Generalized Bessel and Riesz Potentials. Matematičeskie zametki, Tome 104 (2018) no. 3, pp. 356-373. http://geodesic.mathdoc.fr/item/MZM_2018_104_3_a3/