A remark on A+B and A-A for compact sets in R^n
Combinatorics
2016-05-25 v1 Number Theory
Abstract
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).
Keywords
Cite
@article{arxiv.1605.07170,
title = {A remark on A+B and A-A for compact sets in R^n},
author = {Tomasz Schoen and Ilya D. Shkredov},
journal= {arXiv preprint arXiv:1605.07170},
year = {2016}
}
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4 pages