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arXiv · 1704.03586

Bilinear Spherical Maximal Function

J. A. Barrionevo·Loukas Grafakos·Danqing He·Petr Honzík·Lucas Oliveira
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Abstract

We obtain boundedness for the bilinear spherical maximal function in a range of exponents that includes the Banach triangle and a range of $L^p$ with $p<1$. We also obtain counterexamples that are asymptotically optimal with our positive results on certain indices as the dimension tends to infinity.

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J. A. Barrionevo, Loukas Grafakos, Danqing He, Petr Honzík, Lucas Oliveira. 2017-04-12. Bilinear Spherical Maximal Function. https://arxiv.org/abs/1704.03586

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