On the Dimension of Kakeya Sets and Related Maximal Inequalities

On Certain Sets of Integers

K. F. Roth · Journal of the London Mathematical Society · 1953 · 616 citations

Natural Sciences, Computer Science, Mathematics +7

A New Proof of Szemer�di's Theorem for Arithmetic Progressions of Length Four

W. T. Gowers · Geometric and Functional Analysis · 1998 · 461 citations

Natural Sciences, Mathematics, Number Theory +3

Additive number theory: inverse problems and the geometry of sumsets

Choice Reviews Online · 1997 · 441 citations

Natural Sciences, Mathematics, Geometry +9

Besicovitch type maximal operators and applications to fourier analysis

Jean Bourgain · Geometric and Functional Analysis · 1991 · 304 citations

Natural Sciences, Mathematics, Physics +9

An improved bound for Kakeya type maximal functions

Thomas Wolff · Revista Matemática Iberoamericana · 1995 · 190 citations · Full text

Computing, Computer Science, Optimization +5