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

LpL^p improving multilinear Radon-like transforms

  • Betsy Stovall

    University of California Los Angeles, USA
$L^p$ improving multilinear Radon-like transforms cover
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Abstract

e characterize (up to endpoints) the kk-tuples (p1,,pk)(p_1,\ldots,p_k) for which certain kk-linear generalized Radon transforms map the product Lp1××LpkL^{p_1} \times \cdots \times L^{p_k} boundedly into R\mathbb{R}. This generalizes a result of Tao and Wright.

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

DOI 10.4171/RMI/663