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arXiv · 2606.17558

Weighted Hardy inequalities involving supremum for decreasing sequences

Tuğçe Ünver·Amiran Gogatishvili·Nurzhan Bokayev·Nurgul Kuzeubayeva
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Abstract

In this paper, we provide a complete characterization of the weighted Hardy inequalities involving the supremum operator, restricted to the cone of non-increasing sequences, for all positive parameters. We reduce such inequalities to equivalent ones on the cone of non-negative sequences. The latter setting provides a broader framework for analysis and significantly expands the range of proofs that can be established.

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Tuğçe Ünver, Amiran Gogatishvili, Nurzhan Bokayev, Nurgul Kuzeubayeva. 2026-06-16. Weighted Hardy inequalities involving supremum for decreasing sequences. https://arxiv.org/abs/2606.17558

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