Norm-variation of cubic ergodic averages
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915589972295680 |
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| author | Durcik, Polona Škreb, Kristina Ana |
| author_facet | Durcik, Polona Škreb, Kristina Ana |
| contents | We prove a quantitative result on norm convergence of cubic ergodic averages with respect to $d\geq 1$ commuting measure-preserving transformations. We use harmonic analysis techniques, a key tool being estimates for singular Brascamp-Lieb forms with cubical structure, which are used as a black box. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1903_04370 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Norm-variation of cubic ergodic averages Durcik, Polona Škreb, Kristina Ana Dynamical Systems Classical Analysis and ODEs We prove a quantitative result on norm convergence of cubic ergodic averages with respect to $d\geq 1$ commuting measure-preserving transformations. We use harmonic analysis techniques, a key tool being estimates for singular Brascamp-Lieb forms with cubical structure, which are used as a black box. |
| title | Norm-variation of cubic ergodic averages |
| topic | Dynamical Systems Classical Analysis and ODEs |
| url | https://arxiv.org/abs/1903.04370 |