Estimates of $Γ$-functions and their $\log{}$-derivatives
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911729229758464 |
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| author | Bekker, Miron Mityagin, Boris |
| author_facet | Bekker, Miron Mityagin, Boris |
| contents | We provide a lower bound for a weighted ratio of $Γ-$functions and its $\log{}-$derivative. Then we apply this result to estimate the norm of the operator associated with the Cesáro operator in the Hardy space $H^p({\mathbb C}_+)$, $1<p<\infty$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_30378 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Estimates of $Γ$-functions and their $\log{}$-derivatives Bekker, Miron Mityagin, Boris Complex Variables Primary 33B15. Secondary 30H10, 47B38 We provide a lower bound for a weighted ratio of $Γ-$functions and its $\log{}-$derivative. Then we apply this result to estimate the norm of the operator associated with the Cesáro operator in the Hardy space $H^p({\mathbb C}_+)$, $1<p<\infty$ |
| title | Estimates of $Γ$-functions and their $\log{}$-derivatives |
| topic | Complex Variables Primary 33B15. Secondary 30H10, 47B38 |
| url | https://arxiv.org/abs/2605.30378 |