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arXiv · 2204.00058

The Multilinear Spherical Maximal Function in one dimension

Georgios Dosidis·João P. G. Ramos
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Abstract

In dimension $n=1$ we obtain $L^{p_1}(\mathbb R) \times\dots\times L^{p_m}(\mathbb R)$ to $L^p(\mathbb R)$ boundedness for the multilinear spherical maximal function in the largest possible open set of indices and we provide counterexamples that indicate the optimality of our results.

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Georgios Dosidis, João P. G. Ramos. 2022-03-31. The Multilinear Spherical Maximal Function in one dimension. https://doi.org/10.1017/s0013091524000191

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