Rearrangement methods in the work of Elliott Lieb

Rupert L. Frank

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arXiv · 2207.05153

Rearrangement methods in the work of Elliott Lieb

Rupert L. Frank

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Abstract

We review some topics in the theory of symmetric decreasing rearrangements with a particular focus on Lieb's fundamental contributions. Topics covered include the Brascamp--Lieb--Luttinger theorem, the sharp Young and Hardy--Littlewood--Sobolev inequalities, as well as the continuity of the rearrangement map on Sobolev spaces.

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Rupert L. Frank. 2022-07-11. Rearrangement methods in the work of Elliott Lieb. https://arxiv.org/abs/2207.05153

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