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

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	601-612
Number of pages	12
Journal	Journal of Mathematical Analysis and Applications
Volume	462
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2018.02.018
State	Published - 1 Jun 2018

Keywords

Harmonic measure
Quasicircle
Quasisymmetric
Symmetric quasicircle

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10.1016/j.jmaa.2018.02.018

Cite this

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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.",

keywords = "Harmonic measure, Quasicircle, Quasisymmetric, Symmetric quasicircle",

author = "Tao Cheng and Huiqiang Shi and Shanshuang Yang",

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year = "2018",

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AU - Cheng, Tao

AU - Shi, Huiqiang

AU - Yang, Shanshuang

PY - 2018/6/1

Y1 - 2018/6/1

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

AN - SCOPUS:85044270421

SN - 0022-247X

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EP - 612

JO - Journal of Mathematical Analysis and Applications

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IS - 1

ER -

Harmonic measure on quasicircles and symmetric quasicircles

Abstract

Keywords

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