This article is cited in 9 papers

Cones of Functions with Monotonicity Conditions for Generalized Bessel and Riesz Potentials

N. A. Bokaev^a, M. L. Gol'dman^b, 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.

UDC: 517

Received: 15.12.2017
Revised: 06.03.2018

DOI: 10.4213/mzm12110

 English version: Mathematical Notes, 2018, 104:3, 348–363

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