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arxiv: 1710.07673 · v1 · pith:YBZZ4AISnew · submitted 2017-10-20 · 🧮 math.CA

L^p improving multilinear Radon-like transforms

classification 🧮 math.CA
keywords timestransformsboundedlycdotscertaincharacterizeendpointsgeneralized
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We characterize (up to endpoints) the $k$-tuples $(p_1,\ldots,p_k)$ for which certain $k$-linear generalized Radon transforms map $L^{p_1} \times \cdots \times L^{p_k}$ boundedly into $\mathbb R$. This generalizes a result of Tao and Wright.

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