A. Drouot

activity

20112022

most citedMicrolocal analysis of the bulk-edge correspondence

30 citations · 100 across the 11 of their papers we have counts for

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3 papers · 1 filter

math.CA2014★ 1 cited

Existence and non-existence of extremizers for certain $k$ -plane transform inequalities

Alexis Drouot

We provide sharp forms of $k$ -plane transform inequalities on the $d$ -dimensional sphere $S^{d}$ and the $d$ -dimensional hyperbolic space $H^{d}$ . In particular, we p…

math.CA2012

Quantitative form of certain k-plane transform inequalities

Alexis Drouot

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 giv…

math.CA2011★ 13 cited

Best constant and value of extremizers for a k-plane transform inequality

Alexis Drouot

The k-plane transform acting on test functions on R^d satisfies a dilation-invariant L^p to L^q inequality for some exponents p,q. We will explicit some extremizers and the value o…

Existence and non-existence of extremizers for certain k-plane transform inequalities

Quantitative form of certain k-plane transform inequalities

Best constant and value of extremizers for a k-plane transform inequality

Existence and non-existence of extremizers for certain $k$ -plane transform inequalities