A function whose graph has positive doubling measure

DOI10.1090/proc12748zbMath1342.28002arXiv1406.4693OpenAlexW2013499496WikidataQ109997970 ScholiaQ109997970MaRDI QIDQ2789870

Tuomo Ojala, Tapio Rajala

Publication date: 2 March 2016

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

Full work available at URL: https://arxiv.org/abs/1406.4693

zbMATH Keywords

doubling measurethin setfat set

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Quasiconformal mappings in metric spaces (30L10)

Related Items (5)

Two results on \(\varphi\)-uniform Jordan domains ⋮ Zygmund graphs are thin for doubling measures ⋮ On thin carpets for doubling measures ⋮ Normal numbers are not fat for doubling measures ⋮ Hölder coverings of sets of small dimension

Cites Work

• Fat and thin sets for doubling measures in Euclidean space
• A doubling measure on $\mathbb {R}^d$ can charge a rectifiable curve
• On Sierpiński carpets and doubling measures

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