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Harmonic measure on quasicircles and symmetric quasicircles.

Authors :
Cheng, Tao
Shi, Huiqiang
Yang, Shanshuang
Source :
Journal of Mathematical Analysis & Applications. Jun2018, Vol. 462 Issue 1, p601-612. 12p.
Publication Year :
2018

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0022247X
Volume :
462
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Mathematical Analysis & Applications
Publication Type :
Academic Journal
Accession number :
128395834
Full Text :
https://doi.org/10.1016/j.jmaa.2018.02.018