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This article is cited in 6 scientific papers (total in 6 papers)
Cones of Functions with Monotonicity Conditions for Generalized Bessel and Riesz Potentials
N. A. Bokaeva, M. L. Gol'dmanb, G. Zh. Karshygina a L. N. Gumilev Eurasian National University, Astana
b Peoples' Friendship University of Russia, Moscow
Abstract:
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.
Received: 15.12.2017 Revised: 06.03.2018
Citation:
N. A. Bokaev, M. L. Gol'dman, G. Zh. Karshygina, “Cones of Functions with Monotonicity Conditions for Generalized Bessel and Riesz Potentials”, Mat. Zametki, 104:3 (2018), 356–373; Math. Notes, 104:3 (2018), 348–363
Linking options:
https://www.mathnet.ru/eng/mzm12110https://doi.org/10.4213/mzm12110 https://www.mathnet.ru/eng/mzm/v104/i3/p356
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Abstract page: | 520 | Full-text PDF : | 78 | References: | 63 | First page: | 29 |
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