Strong one-sided density without uniform density

DOI10.1007/S10998-022-00455-9OpenAlexW3122371275MaRDI QIDQ2694904

Yanyan Li

Publication date: 4 April 2023

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.09471

zbMATH Keywords

Lip and Lip functionsstrong one-sided densityuniform density typeweakly dense sets

Mathematics Subject Classification ID

Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Length, area, volume, other geometric measure theory (28A75)

Cites Work

• Differentiability of Lipschitz functions on metric measure spaces
• Sets of non-differentiability for functions with finite lower scaled oscillation
• A differentiable structure for metric measure spaces
• Big and little Lipschitz one sets
• Characterization of lip sets
• Mapping analytic sets onto cubes by little Lipschitz functions
• Sets where \(\operatorname{Lip}f\) is infinite and \(\operatorname{lip}f\) is finite
• Linear dilatation and differentiability of homeomorphisms of $\mathbb{R}^{n}$
• Lipschitz one sets modulo sets of measure zero
• On sets where $\operatorname{lip} f$ is finite
• Scaled-oscillation and regularity

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