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Orthogonal projection, dual Furstenberg problem, and discretized sum-product by Li, Longhui; Liu, Bochen is a scholarly article available to read on EtoBox.

What is Orthogonal projection, dual Furstenberg problem, and discretized sum-product about?

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.

Author

Li, Longhui; Liu, Bochen

Published

2024

Language

EN