Quantitative Carleson's conjecture for Ahlfors regular domains

Published 15 May 2025 in math.CA and math.AP | (2505.10666v1)

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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