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. 
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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/

[1] S. M. Nikolskii, Priblizhenie funktsii mnogikh peremennykh i teoremy vlozheniya, Nauka, M., 1969 | MR | Zbl

[2] I. M. Stein, Singulyarnye integraly i differentsialnye svoistva funktsii, Mir, M., 1973 | MR | Zbl

[3] S. G. Krein, Yu. I. Petunin, E. M. Semenov, Interpolyatsiya lineinykh operatorov, Nauka, M., 1978 | MR | Zbl

[4] C. Bennett, R. C. Sharpley, Interpolation of Operators, Pure Appl. Math., 129, Boston, MA, Academic Press, 1988 | MR | Zbl

[5] E. G. Bakhtigareeva, M. L. Goldman, “Postroenie optimalnoi obolochki dlya konusa neotritsatelnykh funktsii so svoistvami monotonnosti”, Funktsionalnye prostranstva, teoriya priblizhenii, smezhnye razdely matematicheskogo analiza, Tr. MIAN, 293, MAIK «Nauka/Interperiodika», M., 2016, 43–61 | DOI | MR

[6] V. I. Burenkov, M. L. Goldman, “Vychislenie normy polozhitelnogo operatora na konuse monotonnykh funktsii”, Teoriya funktsii i differentsialnye uravneniya, Tr. MIAN, 210, Nauka, M., 1995, 65–89 | MR | Zbl

[7] M. L. Goldman, “Ob optimalnykh vlozheniyakh obobschennykh potentsialov Besselya i Rissa”, Teoriya funktsii i differentsialnye uravneniya, Tr. MIAN, 269, MAIK «Nauka/Interperiodika», M., 2010, 91–111 | MR | Zbl

[8] M. L. Goldman, “On the cones of rearrangements for generalized Bessel and Riesz potentials”, Complex Var. Elliptic Equ., 55:8-10 (2010), 817–832 | DOI | MR | Zbl