Zygmund graphs are thin for doubling measures

DOI10.1016/J.JMAA.2023.127954arXiv2306.12852OpenAlexW4388767253MaRDI QIDQ6140907

Claudio A. DiMarco

Publication date: 2 January 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.12852

zbMATH Keywords

doubling measureZygmund classHölderLipschitz class

Mathematics Subject Classification ID

Linear function spaces and their duals (46Exx) Classical measure theory (28Axx) Harmonic analysis in several variables (42Bxx)

Cites Work

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• Lectures on analysis on metric spaces
• Smooth functions
• A function whose graph has positive doubling measure
• Thin and fat sets for doubling measures in metric spaces
• A doubling measure on $\mathbb {R}^d$ can charge a rectifiable curve
• Hardy and Lipschitz spaces on subsets of $R^{n}$
• Every complete doubling metric space carries a doubling measure
• On thin carpets for doubling measures
• Differentiability of functions in the Zygmund class

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