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arXiv · 1307.6551

Uniqueness of extremizers for an endpoint inequality of the $k$-plane transform

Taryn C. Flock
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Abstract

The $k$-plane transform is a bounded operator from $\lp$ to $L^q$ of the Grassmann manifold of all affine $k$-planes in $\R^n$ for certain exponents depending on $k$ and $n$. In the endpoint case $q=n+1$, we identify all extremizers of the associated inequality for the general $k$-plane transform.

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Taryn C. Flock. 2013-09-21. Uniqueness of extremizers for an endpoint inequality of the $k$-plane transform. https://arxiv.org/abs/1307.6551

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