Abstract
A Radon measure on R has n-growth if there exists some constant cμ such that μ(B(x, r)) ≤ cμr n for all x ∈ R, r > 0. If there exists some constant cμ such that c μ r n ≤ μ(B(x, r)) ≤ cμ r n for all x ∈ sptμ, 0 0 and η, with 0 < η ≤ 1, such that the following inequalities hold for all x, y ∈ R, x 6= y:
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