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arXiv · 1706.02007

A sharpened Riesz-Sobolev inequality

Michael Christ
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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.

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Michael Christ. 2017-06-06. A sharpened Riesz-Sobolev inequality. https://arxiv.org/abs/1706.02007

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