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arXiv · 2603.25856

Discrete reversed Hardy inequalities and H\"older estimates in Lorentz sequence spaces

Sorina Barza·Anca-Nicoleta Marcoci·Liviu-Gabriel Marcoci
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Abstract

We prove sharp reversed Hardy-type inequalities on the cone of decreasing sequences in weighted $\ell^p$-spaces with power weights, applying them to estimate standard norms in Lorentz sequence spaces. We prove that the discrete structure of these spaces yields optimal constants that are different from those in the continuous setting.

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Sorina Barza, Anca-Nicoleta Marcoci, Liviu-Gabriel Marcoci. 2026-03-26. Discrete reversed Hardy inequalities and H\"older estimates in Lorentz sequence spaces. https://arxiv.org/abs/2603.25856

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