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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.12582 |
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| _version_ | 1866913357383073792 |
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| author | Vasilyev, Ioann |
| author_facet | Vasilyev, Ioann |
| contents | The condition mentioned in the title is equivalent to the representability of $f$ as the quotient $f=v_1/v_2$, where $v_1$ and $v_2$ obey the inequalities $|R_j v_i| \leq C |v_i|$ for $i=1,2$ and $j=1,\ldots, n$. Here, $R_1,\ldots, R_n$ are the Riesz transformations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_12582 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The property $\log(f) \in BMO(\mathbb R^n)$ in terms of Riesz transforms Vasilyev, Ioann Functional Analysis The condition mentioned in the title is equivalent to the representability of $f$ as the quotient $f=v_1/v_2$, where $v_1$ and $v_2$ obey the inequalities $|R_j v_i| \leq C |v_i|$ for $i=1,2$ and $j=1,\ldots, n$. Here, $R_1,\ldots, R_n$ are the Riesz transformations. |
| title | The property $\log(f) \in BMO(\mathbb R^n)$ in terms of Riesz transforms |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2402.12582 |