Quantitative Carleson's conjecture for Ahlfors regular domains
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910947082240000 |
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| author | Casey, Emily Tolsa, Xavier Villa, Michele |
| author_facet | Casey, Emily Tolsa, Xavier Villa, Michele |
| contents | In this article, we prove a quantitative version of Carleson's $\varepsilon^2$ conjecture in higher dimension: we characterise those Ahlfors-David regular domains in $\mathbb{R}^{n+1}$ for which the Carleson's coefficients satisfy the so-called strong geometric lemma. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_10666 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantitative Carleson's conjecture for Ahlfors regular domains Casey, Emily Tolsa, Xavier Villa, Michele Classical Analysis and ODEs Analysis of PDEs In this article, we prove a quantitative version of Carleson's $\varepsilon^2$ conjecture in higher dimension: we characterise those Ahlfors-David regular domains in $\mathbb{R}^{n+1}$ for which the Carleson's coefficients satisfy the so-called strong geometric lemma. |
| title | Quantitative Carleson's conjecture for Ahlfors regular domains |
| topic | Classical Analysis and ODEs Analysis of PDEs |
| url | https://arxiv.org/abs/2505.10666 |