Weighted norm inequalities for k-plane transforms

Boris Rubin

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arXiv · 1207.5180

Weighted norm inequalities for k-plane transforms

Boris Rubin

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Abstract

We obtain sharp inequalities for the k-plane transform, the "j-plane to k-plane" transform, and the corresponding dual transforms, acting on $L^p$ spaces with a radial power weight. The operator norms are explicitly evaluated. Some generalizations and open problems are discussed.

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Boris Rubin. 2012-07-21. Weighted norm inequalities for k-plane transforms. https://arxiv.org/abs/1207.5180

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