On the optimal $L_p$-$L_4$ Khintchine inequality
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866910876859105280 |
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| author | Barański, Adam Murawski, Daniel Nayar, Piotr Oleszkiewicz, Krzysztof |
| author_facet | Barański, Adam Murawski, Daniel Nayar, Piotr Oleszkiewicz, Krzysztof |
| contents | We derive optimal dimension independent constants in the classical Khintchine inequality between the $p$th and fourth moment for $p\ge 4$. As an application we deduce stability estimates for the Khintchine inequality between the $p$th and second moment for $p \geq 4$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_11869 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the optimal $L_p$-$L_4$ Khintchine inequality Barański, Adam Murawski, Daniel Nayar, Piotr Oleszkiewicz, Krzysztof Probability Functional Analysis Metric Geometry 52A40 (Primary) 60E15, 26D15 (Secondary) We derive optimal dimension independent constants in the classical Khintchine inequality between the $p$th and fourth moment for $p\ge 4$. As an application we deduce stability estimates for the Khintchine inequality between the $p$th and second moment for $p \geq 4$. |
| title | On the optimal $L_p$-$L_4$ Khintchine inequality |
| topic | Probability Functional Analysis Metric Geometry 52A40 (Primary) 60E15, 26D15 (Secondary) |
| url | https://arxiv.org/abs/2503.11869 |