Harmonic measure on quasicircles and symmetric quasicircles

Tao Cheng; Huiqiang Shi; Shanshuang Yang

doi:10.1016/j.jmaa.2018.02.018

Harmonic measure on quasicircles and symmetric quasicircles

Tao Cheng^*
, Huiqiang Shi
, Shanshuang Yang

^*此作品的通讯作者

数学科学学院

Hunan University of Commerce
Emory University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

This paper is concerned with the study of harmonic measure on quasicircles and symmetric quasicircles. We investigate how the harmonic measure changes from one side of a Jordan curve to the other side. In particular, we characterize quasicircles and symmetric quasicircles using a type of harmonic symmetry property. We also explore the connection between quasicircles and the harmonic reflection property.

源语言	英语
页（从-至）	601-612
页数	12
期刊	Journal of Mathematical Analysis and Applications
卷	462
期	1
DOI	https://doi.org/10.1016/j.jmaa.2018.02.018
出版状态	已出版 - 1 6月 2018

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10.1016/j.jmaa.2018.02.018

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abstract = "This paper is concerned with the study of harmonic measure on quasicircles and symmetric quasicircles. We investigate how the harmonic measure changes from one side of a Jordan curve to the other side. In particular, we characterize quasicircles and symmetric quasicircles using a type of harmonic symmetry property. We also explore the connection between quasicircles and the harmonic reflection property.",

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N2 - This paper is concerned with the study of harmonic measure on quasicircles and symmetric quasicircles. We investigate how the harmonic measure changes from one side of a Jordan curve to the other side. In particular, we characterize quasicircles and symmetric quasicircles using a type of harmonic symmetry property. We also explore the connection between quasicircles and the harmonic reflection property.

AB - This paper is concerned with the study of harmonic measure on quasicircles and symmetric quasicircles. We investigate how the harmonic measure changes from one side of a Jordan curve to the other side. In particular, we characterize quasicircles and symmetric quasicircles using a type of harmonic symmetry property. We also explore the connection between quasicircles and the harmonic reflection property.

KW - Harmonic measure

KW - Quasicircle

KW - Quasisymmetric

KW - Symmetric quasicircle

UR - https://www.scopus.com/pages/publications/85044270421

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DO - 10.1016/j.jmaa.2018.02.018

M3 - 文章

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Harmonic measure on quasicircles and symmetric quasicircles

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