Weak quasicircles have Lipschitz dimension 1

Författare

  • David M. Freeman University of Cincinnati Blue Ash College, Department of Mathematics, Physics, and Computer Science
DOI: https://doi.org/10.54330/afm.113453

Nyckelord:

Lipschitz dimension, Lipschitz light mappings, quasisymmetric mappings, bi-Lipschitz embeddings

Abstract

We prove that the Lipschitz dimension of any bounded turning Jordan circle or arc is equal to 1. Equivalently, the Lipschitz dimension of any weak quasicircle or arc is equal to 1.
Nummer
Vol 47 Nr 1 (2022)
Sektion
Articles

Publicerad

2022-01-10

Referera så här

Freeman, D. M. (2022). Weak quasicircles have Lipschitz dimension 1. Annales Fennici Mathematici, 47(1), 283–303. https://doi.org/10.54330/afm.113453

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