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arXiv · 2505.10666

Quantitative Carleson's conjecture for Ahlfors regular domains

Emily Casey·Xavier Tolsa·Michele Villa
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Abstract

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.

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Emily Casey, Xavier Tolsa, Michele Villa. 2025-05-15. Quantitative Carleson's conjecture for Ahlfors regular domains. https://arxiv.org/abs/2505.10666

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