Quasisymmetric invariance of length John domains in Rn

By establishing several quasihyperbolic geometric characterizations for length John domains in Rn, we prove the quasisymmetric invariance of length John domains with the parameter independent of the dimension n.

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2025-05, Vol.545 (2), Article 129154
Main Authors: Zhou, Qingshan, Guan, Tiantian
Format: Article
Language:English
Subjects:
John domain
Quasihyperbolic metric
Quasisymmetric mapping
Online Access:Get full text
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Description
Summary:By establishing several quasihyperbolic geometric characterizations for length John domains in Rn, we prove the quasisymmetric invariance of length John domains with the parameter independent of the dimension n.
ISSN:0022-247X
DOI:10.1016/j.jmaa.2024.129154