DOCUMENTA MATHEMATICA, Extra Volume ICM II (1998), 755-761

Thomas Wolff

Title: Maximal Averages and Packing of One Dimensional Sets

We discuss recent work of several authors on the Kakeya needle problem and other related problems involving nonexistence of small sets containing large families of one dimensional objects.

1991 Mathematics Subject Classification: 42B99

Keywords and Phrases: Kakeya set, maximal function

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