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arXiv · 2401.13353

Improved $L^p$ bounds for Bochner--Riesz operators associated with rough convex domains in the plane

Hrit Roy
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Abstract

We consider generalized Bochner-Riesz operators associated with planar convex domains. We construct domains which yield improved $L^p$ bounds for the Bochner-Riesz over previous results of Seeger-Ziesler and Cladek. The constructions are based on the existence of large $B_m$ sets due to Bose-Chowla, and large $\Lambda(p)$ sets due to Bourgain.

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Hrit Roy. 2024-01-24. Improved $L^p$ bounds for Bochner--Riesz operators associated with rough convex domains in the plane. https://arxiv.org/abs/2401.13353

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