$L^p$ improving multilinear Radon-like transforms

Betsy Stovall

doi:10.4171/rmi/663

JournalsrmiVol. 27, No. 3pp. 1059–1085

$L^{p}$ improving multilinear Radon-like transforms

Betsy Stovall
University of California Los Angeles, USA

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Abstract

e characterize (up to endpoints) the $k$ -tuples $(p_{1}, \dots, p_{k})$ for which certain $k$ -linear generalized Radon transforms map the product $L^{p_{1}} \times \dots \times L^{p_{k}}$ boundedly into $R$ . This generalizes a result of Tao and Wright.

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Betsy Stovall, $L^{p}$ improving multilinear Radon-like transforms. Rev. Mat. Iberoam. 27 (2011), no. 3, pp. 1059–1085

DOI 10.4171/RMI/663