Mutual singularity of Riesz products on the unit sphere
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929302181773312 |
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| author | Doubtsov, Evgueni |
| author_facet | Doubtsov, Evgueni |
| contents | We prove analogs of Peyrière's mutual singularity theorem for standard and generalized Riesz products on the unit sphere of $\mathbb{C}^n$, $n\ge 2$. As a corollary, we obtain an analog of Zygmund's dichotomy for the Riesz products under consideration. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_02652 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Mutual singularity of Riesz products on the unit sphere Doubtsov, Evgueni Complex Variables Functional Analysis 32A05, 28A50, 32A08, 42A55, 43A85 We prove analogs of Peyrière's mutual singularity theorem for standard and generalized Riesz products on the unit sphere of $\mathbb{C}^n$, $n\ge 2$. As a corollary, we obtain an analog of Zygmund's dichotomy for the Riesz products under consideration. |
| title | Mutual singularity of Riesz products on the unit sphere |
| topic | Complex Variables Functional Analysis 32A05, 28A50, 32A08, 42A55, 43A85 |
| url | https://arxiv.org/abs/2404.02652 |