Publications
Preprint · arXiv · June 16, 2026
Weighted Hardy inequalities involving supremum for decreasing sequences
Tuğçe Ünver, Amiran Gogatishvili, Nurzhan Bokayev, Nurgul Kuzeubayeva
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.
Mathematical Inequalities and ApplicationsAdvanced Harmonic Analysis ResearchApproximation Theory and Sequence Spacesweighted Hardy inequalitydecreasing sequencespositive parameter
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