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arXiv · 2306.12852

Zygmund graphs are thin for doubling measures

Claudio A. DiMarco
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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 $d \geq 1$ the graph of any Lipschitz function $f:\R^d \rightarrow \R$ is thin for doubling measures, and we extend this result to the Zygmund class.

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Claudio A. DiMarco. 2023-06-22. Zygmund graphs are thin for doubling measures. https://arxiv.org/abs/2306.12852

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