Dimension Drop for Harmonic Measure on Ahlfors Regular Boundaries

被引：0
|
作者：
Jonas Azzam
机构：
[1] University of Edinburgh,School of Mathematics
[2] JCMB,undefined
来源：
Potential Analysis | 2020年 / 53卷
关键词：
Harmonic measure; Dimension; Ahlfors regular sets; 31A15; 28A75; 28A78; 31B05; 35J25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show that given a domain Ω⊆ℝd+1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}${\Omega }\subseteq \mathbb {R}^{d+1}$\end{document} with uniformly non-flat Ahlfors s-regular boundary with s ≥ d, the dimension of its harmonic measure is strictly less than s.
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页码：1025 / 1041
页数：16
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