Quantitative Carleson's conjecture for Ahlfors regular domains
Classical Analysis and ODEs
2025-05-19 v1 Analysis of PDEs
Abstract
In this article, we prove a quantitative version of Carleson's conjecture in higher dimension: we characterise those Ahlfors-David regular domains in for which the Carleson's coefficients satisfy the so-called strong geometric lemma.
Keywords
Cite
@article{arxiv.2505.10666,
title = {Quantitative Carleson's conjecture for Ahlfors regular domains},
author = {Emily Casey and Xavier Tolsa and Michele Villa},
journal= {arXiv preprint arXiv:2505.10666},
year = {2025}
}