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arXiv · 1205.3251

Quantitative form of certain k-plane transform inequalities

Alexis Drouot
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Abstract

Let d > 1 and 0 < k < d. The k-plane transform satisies some Lp to Lq dilation-invariant inequality. In this case the best constant and the extremizers are explicitly known. We give a quantitative form of the inequality with respect to these extremizers, that works for k = d - 1 and for k < d-1 while restricted to radial functions.

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Alexis Drouot. 2014-11-18. Quantitative form of certain k-plane transform inequalities. https://arxiv.org/abs/1205.3251

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