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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2302.14135 |
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| _version_ | 1866915860125319168 |
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| author | Arnold, Loris Cuny, Christophe |
| author_facet | Arnold, Loris Cuny, Christophe |
| contents | Let $T$ be a strongly Kreiss bounded linear operator on $L^p$. We obtain a bound on the rate of growth of the norms of the powers of $T$. The bound is optimal with respect to the polynomial scale. The proof makes use of Fourier multipliers, in particular of the Littlewood-Paley inequalities on arbitrary intervals as initiated by Rubio de Francia and developed by Kislyakov and Parilov. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_14135 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the growth rate of powers of a strongly Kreiss bounded operator on $L^p$-spaces Arnold, Loris Cuny, Christophe Functional Analysis Let $T$ be a strongly Kreiss bounded linear operator on $L^p$. We obtain a bound on the rate of growth of the norms of the powers of $T$. The bound is optimal with respect to the polynomial scale. The proof makes use of Fourier multipliers, in particular of the Littlewood-Paley inequalities on arbitrary intervals as initiated by Rubio de Francia and developed by Kislyakov and Parilov. |
| title | On the growth rate of powers of a strongly Kreiss bounded operator on $L^p$-spaces |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2302.14135 |