A KAKEYA-TYPE PROBLEM FOR CIRCLES

Authors
WOLFF T
Citation
T. Wolff, A KAKEYA-TYPE PROBLEM FOR CIRCLES, American journal of mathematics, 119(5), 1997, pp. 985-1026
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
American journal of mathematics → ACNP
ISSN journal
00029327
Volume
119
Issue
5
Year of publication
1997
Pages
985 - 1026
Database
ISI
SICI code
0002-9327(1997)119:5<985:AKPFC>2.0.ZU;2-D
Abstract
We prove full Hausdorff dimension in a variant of the Kakeya problem i nvolving circles in the plane, and also sharp estimates for the releva nt maximal function. These results can also be formulated in terms of the wave equation in two space variables. A novelty in our approach is the use of ideas from computational geometry.