A Geometric Inequality with Applications to the Kakeya Problem in Three Dimensions

Wilhelm Schlag

Type: Article

Publication Date: 1998-07-01

Citations: 24

DOI: https://doi.org/10.1007/s000390050068

Similar Works

Action	Title	Year	Authors
+	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
+	A combinatorial problem with applications to geometry	1971	Carl Maneri Robert Silverman
+	A Remark on the Kakeya Problem	1963	A. A. Blank
+	Moser-Trudinger inequality and applications to a geometric problem	2011	Gabriele Mancini G.B. John Mancini
+	Three-dimensional pin-balls and an optimization problem	1996	Keisuke Uchimura
+	Basel Problem: A Solution Motivated by the Power of a Point	2018	Kapil R. Shenvi Pause
+ PDF Chat	The Waring-Goldbach problem for cubes	2000	Xiumin Ren
+	A result on Waring–Goldbach problem for cubes	2011	Zhixin Liu
+	The Kakeya Problem	2010	Edward Kroc
+	3016. A well-known geometrical problem	1962	J. St. C. L. Sinnadurai
+	Variations of the four cube problem	2014	Michael O Hinder
+ PDF Chat	The abhyankar-moh problem in dimension 3	1989	Tammo tom Dieck Ted Petrie
+	GEOMETRIC PROBLEMS IN THREE DIMENSIONS	1997
+	Three Kakeya Problems	1974	Fiona Cunningham
+	On an Extremum Problem in the Plane	1941	Gy. Szekeres
+	The 3x+1 Problem: An Overview	2021	Jeffrey C. Lagarias
+	The 3x+1 Problem: An Overview	2021	Jeffrey C. Lagarias
+	A Geometry Problem	1956	H.F. Mathis
+	A geometric inequality for a finite set of points on a sphere and its applications	1996	Yang Shi-guo
+ PDF Chat	New bounds for Kakeya problems	2002	N. Katz Terence Tao

Action	Title	Year	Authors
+ PDF Chat	An improved bound for the Minkowski dimension of Besicovitch sets in medium dimension	2001	Izabella Łaba Terence Tao
+	Algebraic Methods in Discrete Analogs of the Kakeya Problem	2008	Larry Guth Nets Hawk Katz
+	Kakeya sets of curves	2005	Laura Wisewell
+ PDF Chat	Algebraic methods in discrete analogs of the Kakeya problem	2010	Larry Guth Nets Hawk Katz
+ PDF Chat	On the Erdős distinct distances problem in the plane	2014	Larry Guth Nets Hawk Katz
+ PDF Chat	Recent work connected with the Kakeya problem	2003	Thomas Wolff
+ PDF Chat	Mapping properties of the elliptic maximal function	2003	M. Burak Erdoğan
+ PDF Chat	Maximal averages and packing of one dimensional sets	1998	Thomas Wolff
+	Improved bounds for the Kakeya maximal conjecture in higher dimensions	2019	Jonathan Hickman Keith M. Rogers Ruixiang Zhang
+ PDF Chat	A sum-product estimate in finite fields, and applications	2004	Jean Bourgain Nets Hawk Katz Terence Tao

Action	Title	Year	Authors
+	Extremal Graph Theory	1978	Béla Bollobás
+ PDF Chat	Oscillatory integrals and multiplier problem for the disc	1972	Lennart Carleson Per Sjölin
+ PDF Chat	An improved bound for Kakeya type maximal functions	1995	Thomas Wolff
+	A Kakeya-type problem for circles	1997	Thomas Wolff
+ PDF Chat	On some variants of the Kakeya problem	1999	Lawrence A. Kolasa Thomas Wolff
+ PDF Chat	Inequalities for strongly singular convolution operators	1970	Charles Fefferman
+	A note on spherical summation multipliers	1973	Charles Fefferman
+	The Multiplier Problem for the Ball	1971	Charles Fefferman