Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4589971 | Journal of Functional Analysis | 2015 | 36 Pages |
Abstract
Let d≥2d≥2 and 1≤k≤d−11≤k≤d−1. The k -plane transform satisfies some Lp→LqLp→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−1k=d−1 and for k≠d−1k≠d−1 while restricted to radial functions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Alexis Drouot,