A remark on A+B and A-A for compact sets in R^n

Ilya D. Shkredov; Tomasz Schoen

arxiv: 1605.07170 · v1 · pith:6VYWUWTDnew · submitted 2016-05-23 · 🧮 math.CO · math.NT

A remark on A+B and A-A for compact sets in R^n

Tomasz Schoen , Ilya D. Shkredov This is my paper

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keywords compactarbitraryconvexparticularproveprovidedremarksets

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We prove in particular that if A be a compact convex subset of R^n, and B from R^n be an arbitrary compact set then \mu (A-A) \ll \mu(A+B)^2 / (\sqrt{n} \mu (A)), provided that \mu(B)\ge \mu(A).

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A remark on A+B and A-A for compact sets in R^n

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