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arxiv: 1407.6567 · v1 · pith:5RGJYMWEnew · submitted 2014-07-24 · 🧮 math.FA

On the extremals of the P\'olya-SzegH{o} inequality

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keywords inequalityolya-szegcontrolledcriticaldecreasingdistanceextremalextremals
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The distance of an extremal of the P\'olya-Szeg\H{o} inequality from a translate of its symmetric decreasing rearrangement is controlled by the measure of the set of critical points.

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