A sharpened Riesz-Sobolev inequality
Classical Analysis and ODEs
2017-06-08 v1
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.
Cite
@article{arxiv.1706.02007,
title = {A sharpened Riesz-Sobolev inequality},
author = {Michael Christ},
journal= {arXiv preprint arXiv:1706.02007},
year = {2017}
}