Mutual Absolute Continuity of Interior and Exterior Harmonic Measure Implies Rectifiability
Mutual Absolute Continuity of Interior and Exterior Harmonic Measure Implies Rectifiability
复制标题
内部和外部谐波测量的相互绝对连续性意味着可整流性
DOI：
--
复制
发表时间：
2016
期刊：
影响因子：
--
通讯作者：
X. Tolsa
中科院分区：
文献类型：
--
作者：
Jonas Azzam;Mihalis Mourgoglou;X. Tolsa
证明了对于欧氏空间中边界满足非退化条件的不相交域，其调和测度的相互绝对连续性蕴含着关于曲面测度的绝对连续性和边界相交处的可求正性.© 2017 Wiley Periodicals，Inc.
We show that, for disjoint domains in the euclidean space whose boundaries satisfy a nondegeneracy condition, mutual absolute continuity of their harmonic measures implies absolute continuity with respect to surface measure and rectifiability in the intersection of their boundaries. © 2017 Wiley Periodicals, Inc.