On the Dimension of Kakeya Sets and Related Maximal Inequalities

Jean Bourgain

Type: Article

Publication Date: 1999-06-01

Citations: 117

DOI: https://doi.org/10.1007/s000390050087

Similar Works

Action	Title	Year	Authors
+ PDF	Questions related to the dimension of Kakeya sets	1997	Thomas Wolff
+	Kakeya sets and the method of multiplicities	2009	Shubhangi Saraf
+	Dimension of Besicovitch sets and Kakeya maximal inequalities	2015	Pertti Mattila
+	On the Kakeya Maximal Function Conjecture	2017	Johan Aspegren
+ PDF	Restricting directions for Kakeya sets	2022	Anthony Gauvan
+ PDF Chat	New bounds for Kakeya problems	2002	N. Katz Terence Tao
+	A note on the Kakeya maximal function	1987	Detlef Müller
+ PDF	On Kakeya's maximal function	1986	Satoru Igari
+	New bounds on Kakeya problems	2001	Nets Hawk Katz Terence Tao
+	A Remark on the Kakeya Problem	1963	A. A. Blank
+ PDF Chat	Discrete Kakeya-type problems and small bases	2009	Noga Alon Boris Bukh Benny Sudakov
+ PDF Chat	THE KAKEYA SET AND MAXIMAL CONJECTURES FOR ALGEBRAIC VARIETIES OVER FINITE FIELDS	2009	Jordan S. Ellenberg Richard Oberlin Terence Tao
+	Norm Estimates for the Kakeya Maximal Function in High Dimensions with Respect to General Measures	2023	Anthony Gauvan
+	O problema de Kakeya	2016	Pedro Alberto Rey Jimenez
+ PDF	A Note on Korovkin Sets	1975	Morisuke Hasumi
+	On number theory and Kustaa Inkeri	2013	Alfred J. van der Poorten
+	Restricting directions for Kakeya sets	2022	Anthony Gauvan
+ PDF Chat	On the packing dimension of Furstenberg sets	2022	Pablo Shmerkin
+	On the principle of doubly symmetric Kaz’min sets	2017	G. I. Andriyanov
+	On a variant of the Kakeya problem in $${\mathbb{R}}$$ R	2013	Yu Deng HU Cai-hong Shunchao Long Tai‐Man Tang Jörg Μ. Thuswaldner Lifeng Xi

Action	Title	Year	Authors
+ PDF Chat	Sharp Estimates of Noncommutative Bochner–Riesz Means on Two-Dimensional Quantum Tori	2021	Xudong Lai
+ PDF	Heisenberg Hausdorff Dimensionof Besicovitch Sets	2014	Laura Venieri
+ PDF Chat	On a Question of Bourgain about Geometric Incidences	2008	József Solymosi Csaba D. Tóth
+ PDF Chat	An improved bound for the Minkowski dimension of Besicovitch sets in medium dimension	2001	Izabella Łaba Terence Tao
+	An epsilon of room, I : real analysis : pages from year three of a mathematical blog	2010	Terence Tao
+	An x-ray estimate in $R^n$	1999	Izabella Łaba Terence Tao
+	Restriction and Kakeya phenomena for finite fields	2002	Gerd Mockenhaupt Terence Tao
+	None	2002	François Ledrappier Elon Lindenstrauss
+	New bounds on Kakeya problems	2001	Nets Hawk Katz Terence Tao
+	Guest column	2010	Zeev Dvir

Action	Title	Year	Authors
+	Integer sets containing no arithmetic progressions	1990	Endre Szemerédi
+	On arithmetic progressions in sums of sets of integers	2012	Jean Bourgain
+ PDF	An improved bound for Kakeya type maximal functions	1995	Thomas Wolff
+	Besicovitch type maximal operators and applications to fourier analysis	1991	Jean Bourgain
+	Integer Sets Containing No Arithmetic Progressions	1987	D. R. Heath‐Brown
+	Integer Sum Sets Containing Long Arithmetic Progressions	1992	Gregory A. Freiman H. Halberstam Imre Z. Ruzsa
+	Additive number theory: inverse problems and the geometry of sumsets	1997	Melvyn B. Nathanson
+	A statistical theorem of set addition	1994	Antal Balog Endre Szemer�di
+	On Certain Sets of Integers	1953	K. F. Roth
+	Some remarks on the Kakeya problem	1971	Roy O. Davies