Title: A sharpened Riesz-Sobolev inequality,
Abstract: The Riesz-Sobolev inequality provides an upper bound, in integral form, for
the convolution of indicator functions of subsets of Euclidean space. We
formulate and prove a sharper form of the inequality. This can be equivalently
phrased as a stability result, quantifying an inverse theorem of Burchard that
characterizes cases of equality.