Examples
- Suppose we have a circle in R2 with uniform measure on that circle. Then, for any point a in the circle, the set of tangent measures will just be positive constants times 1-dimensional Hausdorff measure supported on the line tangent to the circle at that point.
- In 1995, Toby O'Neil produced an example of a Radon measure μ on Rd such that, for μ-almost every point a ∈ Rd, Tan(μ, a) consists of all nonzero Radon measures.
Read more about this topic: Tangent Measure
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