Sets of Salem type and sharpness of the 𝐿²-Fourier restriction theorem

Xianghong Chen

Type: Article

Publication Date: 2015-06-17

Citations: 16

DOI: https://doi.org/10.1090/tran/6396

View Publication

Locations

arXiv (Cornell University) - View - PDF
Transactions of the American Mathematical Society - View

Similar Works

Action	Title	Year	Authors
+	Sets of Salem type and sharpness of the $L^2$-Fourier restriction theorem	2013	Xianghong Chen
+	Salem sets and restriction properties of Fourier transforms	2000	Gerd Mockenhaupt
+ PDF Chat	Convolution Powers of Salem Measures With Applications	2016	Xianghong Chen Andreas Seeger
+	Explicit Salem sets, Fourier restriction, and metric Diophantine approximation in the $p$-adic numbers	2017	Robert Fraser Kyle Hambrook
+	Explicit Salem sets, Fourier restriction, and metric Diophantine approximation in the $p$-adic numbers	2017	Robert Fraser Kyle Hambrook
+	Large sets without Fourier restriction theorems	2022	Constantin Bilz
+	Fourier restriction phenomenon in thin sets	2010	C. Papadimitropoulos
+ PDF Chat	Sharpness of the Mockenhaupt–Mitsis–Bak–Seeger restriction theorem in higher dimensions	2016	Kyle Hambrook Izabella Łaba
+ PDF Chat	The endpoint Stein–Tomas inequality: old and new	2024	Diogo Oliveira e Silva
+	Fourier Restriction and Exponential Sum Estimates	2016	Yichen Hu Xiao-Chun Li
+	Near-optimal restriction estimates for Cantor sets on the parabola	2023	Donggeun Ryou
+	Fourier restriction estimates	2021	Valentina Ciccone
+	A sharp Poincaré inequality for functions in 𝐖^{1,∞}(Ω;ℝ)	2022	Jonathan J. Bevan Jonathan H. B. Deane Sergey Zelik
+ PDF Chat	Dimension-free Fourier restriction inequalities	2024	Diogo Oliveira e Silva Błażej Wróbel
+	Restriction theorems and Salem sets	2015	Kyle Hambrook
+	A uniform Fourier restriction theorem for surfaces in ℝ³	2003	Daniel M. Oberlin
+ PDF Chat	Explicit Salem sets, Fourier restriction, and metric Diophantine approximation in the<i>p</i>-adic numbers	2019	Robert Fraser Kyle Hambrook
+ PDF Chat	Covering lemmas and the sharp function	1985	Richard J. Bagby Douglas S. Kurtz
+	Salem sets in local fields, the Fourier restriction phenomenon and the Hausdorff–Young inequality	2010	C. Papadimitropoulos
+	Salem Sets in the p-adics, the Fourier Restriction Phenomenon and Optimal Extension of the Hausdorff-Young Inequality	2009	C. Papadimitropoulos

Works That Cite This (16)

Action	Title	Year	Authors
+	Finite field analogue of restriction theorem for general measures	2020	Changhao Chen
+ PDF Chat	Sharpness of the Mockenhaupt–Mitsis–Bak–Seeger restriction theorem in higher dimensions	2016	Kyle Hambrook Izabella Łaba
+ PDF Chat	Decoupling and Near-optimal Restriction Estimates for Cantor Sets	2016	Izabella Łaba Hong Wang
+ PDF Chat	Spatially independent martingales, intersections, and applications	2017	Pablo Shmerkin Ville Suomala
+ PDF Chat	A Class of Random Cantor Measures, with Applications	2017	Pablo Shmerkin Ville Suomala
+	Fourier dimension and avoidance of linear patterns	2020	Yiyu Liang Malabika Pramanik
+	Spatially independent martingales, intersections, and applications	2014	Pablo Shmerkin Ville Suomala
+ PDF Chat	Fourier dimension and avoidance of linear patterns	2022	Yiyu Liang Malabika Pramanik
+	Explicit Salem Sets in $\mathbb{R}^2$	2016	Robert Fraser Kyle Hambrook
+ PDF Chat	Convolution Powers of Salem Measures With Applications	2016	Xianghong Chen Andreas Seeger

Works Cited by This (19)

Action	Title	Year	Authors
+	Restriction theorems for the Fourier transform	2014	Stefan Buschenhenke
+	Some Random Series of Functions	1985	Jean‐Pierre Kahane
+	Lectures on Harmonic Analysis	2003	Thomas Wolff
+ PDF Chat	On the theorem of Jarník and Besicovitch	1981	Robert Kaufman
+ PDF Chat	Random recursive construction of Salem sets	1996	Christian Bluhm
+ PDF Chat	On singular monotonic functions whose spectrum has a given Hausdorff dimension	1951	R. Salem
+	Salem sets and restriction properties of Fourier transforms	2000	Gerd Mockenhaupt
+ PDF Chat	On the Sharpness of Mockenhaupt’s Restriction Theorem	2013	Kyle Hambrook Izabella Łaba
+ PDF Chat	A restriction theorem for the Fourier transform	1975	Peter A. Tomas
+ PDF Chat	Arithmetic Progressions in Sets of Fractional Dimension	2009	Izabella Łaba Malabika Pramanik