Weighted norm inequalities for k-plane transforms

B. Rubin

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

Weighted norm inequalities for k-plane transforms

B. Rubin^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

We obtain sharp inequalities for the k-plane transform, the “jplane 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.

Original language	English
Pages (from-to)	3455-3467
Number of pages	13
Journal	Proceedings of the American Mathematical Society
Volume	142
Issue number	10
DOIs	https://doi.org/10.1090/S0002-9939-2014-11987-3
State	Published - 1 Oct 2014
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2014 American Mathematical Society.

Keywords

Radon transforms
Weighted norm estimates

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10.1090/S0002-9939-2014-11987-3

Cite this

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AB - We obtain sharp inequalities for the k-plane transform, the “jplane to k-plane” transform, and the corresponding dual transforms, acting on Lp spaces with a radial power weight. The operator norms are explicitly evaluated. Some generalizations and open problems are discussed.

KW - Radon transforms

KW - Weighted norm estimates

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Weighted norm inequalities for k-plane transforms

Abstract

Bibliographical note

Keywords

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