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.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2017
- DOI:
- 10.48550/arXiv.1706.02007
- arXiv:
- arXiv:1706.02007
- Bibcode:
- 2017arXiv170602007C
- Keywords:
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- Mathematics - Classical Analysis and ODEs