On the maximal Bochner-Riesz conjecture in the plane for 𝑝<2

Tao, Terence

doi:10.1090/S0002-9947-02-02942-2

On the maximal Bochner-Riesz conjecture in the plane for $p<2$
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Trans. Amer. Math. Soc. 354 (2002), 1947-1959 Request permission

Abstract:

We give a new estimate on the maximal Bochner-Riesz operator in the plane, for $p<2$; as a corollary we obtain an almost everywhere convergence result for certain Bochner-Riesz means. This work was inspired by discussions with Michael Christ and Chris Sogge.

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