Littlewood-type theorems for Hardy spaces in infinitely many variables
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917592860459008 |
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| author | Ni, Jiaqi |
| author_facet | Ni, Jiaqi |
| contents | Littlewood's theorem is one of the pioneering results in random analytic functions over the open unit disk. In this paper, we prove some analogues of this theorem for Hardy spaces in infinitely many variables. Our results not only cover finite-variable setting, but also apply in cases of Dirichlet series. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_11615 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Littlewood-type theorems for Hardy spaces in infinitely many variables Ni, Jiaqi Functional Analysis 46E50 (Primary) 30B50, 32A35 (Secondary) Littlewood's theorem is one of the pioneering results in random analytic functions over the open unit disk. In this paper, we prove some analogues of this theorem for Hardy spaces in infinitely many variables. Our results not only cover finite-variable setting, but also apply in cases of Dirichlet series. |
| title | Littlewood-type theorems for Hardy spaces in infinitely many variables |
| topic | Functional Analysis 46E50 (Primary) 30B50, 32A35 (Secondary) |
| url | https://arxiv.org/abs/2402.11615 |