Recent work connected with the Kakeya problem

Thomas Wolff

Type: Book-Chapter

Publication Date: 2003-09-17

Citations: 269

DOI: https://doi.org/10.1090/ulect/029/11

Abstract

where Sn−1 is the unit sphere in R. This paper will be mainly concerned with the following issue, which is still poorly understood: what metric restrictions does the property (1) put on the set E? The original Kakeya problem was essentially whether a Kakeya set as defined above must have positive measure, and as is well-known, a counterexample was given by Besicovitch in 1920. A current form of the problem is as follows:

Locations

University lecture series - View
CiteSeer X (The Pennsylvania State University) - View - PDF
University lecture series - View
CiteSeer X (The Pennsylvania State University) - View - PDF

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