Zygmund graphs are thin for doubling measures
Classical Analysis and ODEs
2023-06-23 v1 Functional Analysis
Abstract
The Zygmund functions form an intermediate class between Lipschitz and H\"older functions; their second order divided differences are uniformly bounded. It is well known that for the graph of any Lipschitz function is thin for doubling measures, and we extend this result to the Zygmund class.
Cite
@article{arxiv.2306.12852,
title = {Zygmund graphs are thin for doubling measures},
author = {Claudio A. DiMarco},
journal= {arXiv preprint arXiv:2306.12852},
year = {2023}
}