Orthogonal projection, dual Furstenberg problem, and discretized sum-product

2024/03/23 by Li, Longhui, Liu, Bochen · 1 citation
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2403.15784

Abstract

In this paper we come up with a dual version of the Furstenberg problem and obtain partial results via L^p estimates of orthogonal projections. Examples are also discussed. Moreover, compared with general sets, we find that special structure like Cartesian product has better L^p-behavior. This leads to improvement on some discretized sum-product estimates.

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• A note on higher integrability of projections

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