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

2024/01/24 by Roy, Hrit
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2401.13353

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 Λ(p) sets due to Bourgain.

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