中文

Carleson $\varepsilon^2$-猜想的一个证明

经典分析与常微分方程 2019-10-22 v2 偏微分方程分析 度量几何

摘要

本文给出了 Carleson ε2\varepsilon^2-猜想的一个证明。该结果给出了(模零长度例外集)约当曲线切点据相关 Carleson ε2\varepsilon^2-平方函数有限性的刻画。

关键词

引用

@article{arxiv.1909.08581,
  title  = {A proof of Carleson's $\varepsilon^2$-conjecture},
  author = {Benjamin Jaye and Xavier Tolsa and Michele Villa},
  journal= {arXiv preprint arXiv:1909.08581},
  year   = {2019}
}

备注

In this version, the proof of Main Lemma 4.2 has been modified so that it does not require the use of the David-Mattila lattice. Several typos have been corrected. Also, Corollary 1.3 is now valid for two-sided corkscrew open sets