Discrete H\" older and reversed Hardy-type inequalities in Lorentz sequence spaces
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866917363526402048 |
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| author | Barza, Sorina Marcoci, Anca-Nicoleta Marcoci, Liviu-Gabriel |
| author_facet | Barza, Sorina Marcoci, Anca-Nicoleta Marcoci, Liviu-Gabriel |
| contents | We establish new optimal reversed Hardy-type inequalities on the cone of decreasing sequences from $\ell^p$-spaces with power weights, as well as estimates between different norms in Lorentz spaces of sequences. Based on these inequalities, we derive a sharp Hölder-type inequality in Lorentz sequence spaces that complements the previously considered case of functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_25856 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Discrete H\" older and reversed Hardy-type inequalities in Lorentz sequence spaces Barza, Sorina Marcoci, Anca-Nicoleta Marcoci, Liviu-Gabriel Functional Analysis We establish new optimal reversed Hardy-type inequalities on the cone of decreasing sequences from $\ell^p$-spaces with power weights, as well as estimates between different norms in Lorentz spaces of sequences. Based on these inequalities, we derive a sharp Hölder-type inequality in Lorentz sequence spaces that complements the previously considered case of functions. |
| title | Discrete H\" older and reversed Hardy-type inequalities in Lorentz sequence spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2603.25856 |