New bounds for Stein's square function in $\mathbb{R}^3$ Article Swipe

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YOU? · · 2021 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2104.14731

We prove new $L^p(\mathbb{R}^3)$ bounds on Stein's square function for $p\geq3.25$. As an application, it improves the maximal Bochner-Riesz conjecture to the same range of $p$.

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Square (algebra) Conjecture Function (biology) Mathematics Range (aeronautics) Combinatorics Pure mathematics Geometry Materials science Composite material Biology Evolutionary biology

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2104.14731
PDF: https://arxiv.org/pdf/2104.14731
OA Status: green
Cited By: 2
References: 16
Related Works: 10
OpenAlex ID: https://openalex.org/W3159011901

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DOI: https://doi.org/10.48550/arxiv.2104.14731

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Title: New bounds for Stein's square function in $\mathbb{R}^3$

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Type: preprint

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Language: en

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Publication year: 2021

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Publication date: 2021-04-30

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Authors: Shengwen Gan, Yifan Jing, Shukun Wu

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Landing page: https://arxiv.org/abs/2104.14731

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PDF URL: https://arxiv.org/pdf/2104.14731

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OA URL: https://arxiv.org/pdf/2104.14731

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Concepts: Square (algebra), Conjecture, Function (biology), Mathematics, Range (aeronautics), Combinatorics, Pure mathematics, Geometry, Materials science, Composite material, Biology, Evolutionary biology

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Cited by: 2

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Citations by year (recent): 2022: 1, 2021: 1

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