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<p>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.</p>

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On Cones of Rearrangements for Generalized Discrete Riesz Potentials

  • 期刊论文

  • 发表日期：

    2025年6月7日

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  • Nurzhan Bokayev,
  • Adiya Absamatova,
  • Gulden Karshygina

摘要

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.