Group actions, the Mattila integral and applications

DOI10.1090/proc/14406zbMath1464.28004arXiv1705.00560OpenAlexW2898194404WikidataQ129028095 ScholiaQ129028095MaRDI QIDQ5377065

Bochen Liu

Publication date: 23 May 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.00560

zbMATH Keywords

Falconer distance problemMattila integral

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Length, area, volume, other geometric measure theory (28A75)

Related Items (4)

Falconer type functions in three variables ⋮ An \(L^2\)-identity and pinned distance problem ⋮ Improvement on 2-chains inside thin subsets of Euclidean spaces ⋮ Areas spanned by point configurations in the plane

Cites Work

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• NEW RESULTS ON SUM‐PRODUCT TYPE GROWTH OVER FIELDS
• Weighted restriction estimates and application to Falconer distance set problem

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