On Cones of Rearrangements for Generalized Discrete Riesz Potentials


Bokayev N. Absamatova A. Karshygina G.
June 2025Springer

Journal of Mathematical Sciences (United States)
2025#291Issue 120 - 25 pp.

We consider generalized discrete Riesz potentials and the space of discrete Riesz potentials constructed on the basis of the Lebesgue space. We construct three cones of nonincreasing rearrangements for discrete Riesz potentials and clarify relationship between them. We establish embedding criteria for the space of generalized discrete potentials.



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Gumilyov Eurasian National University, 2, Satbaev St, Astana, 010000, Kazakhstan
Astana International University, 8, Kabanbay Batyr Av, Astana, 010000, Kazakhstan

Gumilyov Eurasian National University
Astana International University

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