Weighted norm inequalities for 𝑘-plane transforms

Rubin, B.

doi:10.1090/S0002-9939-2014-11987-3

Weighted norm inequalities for $k$-plane transforms
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Proc. Amer. Math. Soc. 142 (2014), 3455-3467 Request permission

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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