Decoupling and Near-optimal Restriction Estimates for Cantor Sets

DOI10.1093/imrn/rnw327zbMath1442.42031arXiv1607.08302OpenAlexW2964302313MaRDI QIDQ4619380

Izabella Łaba, Hong Wang

Publication date: 6 February 2019

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.08302

zbMATH Keywords

Strichartz estimatesconvolution powersFourier restrictiondiscrete restriction estimates

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fractals (28A80) Trigonometric series of special types (positive coefficients, monotonic coefficients, etc.) (42A32)

Related Items (8)

Large sets without Fourier restriction theorems ⋮ Resonances for open quantum maps and a fractal uncertainty principle ⋮ Decoupling for fractal subsets of the parabola ⋮ A Class of Random Cantor Measures, with Applications ⋮ Kleinian Schottky groups, Patterson-Sullivan measures, and Fourier decay ⋮ Maximal operators and decoupling for Λ(p) Cantor measures ⋮ Endpoint Fourier restriction and unrectifiability ⋮ Efficient congruencing in ellipsephic sets: the quadratic case

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