Quasisymmetric extension on the real line

DOI10.1090/proc/13346zbMath1390.30020arXiv1509.06638OpenAlexW2964188509WikidataQ109745455 ScholiaQ109745455MaRDI QIDQ4609828

Vyron Vellis

Publication date: 26 March 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.06638

zbMATH Keywords

quasisymmetric extensionrelatively connected sets

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Geometric embeddings of metric spaces (30L05)

Related Items

Geometry of measures in real dimensions via Hölder parameterizations ⋮ Relatively quasimöbius mappings in Banach spaces ⋮ On uniform perfectness in quasimetric spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quasisymmetry, measure and a question of Heinonen
• The boundary correspondence under quasiconformal mappings
• Quasiconformal extension from dimension n to n+1
• Lectures on analysis on metric spaces
• Quasiconformal reflections
• An N-dimensional version of the Beurling-Ahlfors extension
• Extension of embeddings close to isometries or similarities
• Bilipschitz and quasisymmetric extension properties
• EXTENSION OF QUASICONFORMAL MAPPINGS FROM TWO TO THREE DIMENSIONS