Ahlfors regular sets of dimension s ≤ 1/2 satisfy Nδ(A+A) + Nδ(AA) ≥ δ^{-4s/3+η}, the fractal analogue of Solymosi's 4/3 bound.
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Sum-product phenomena for Ahlfors-regular sets
Ahlfors regular sets of dimension s ≤ 1/2 satisfy Nδ(A+A) + Nδ(AA) ≥ δ^{-4s/3+η}, the fractal analogue of Solymosi's 4/3 bound.