Published September 1, 1999
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Journal Article
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On some variants of the Kakeya problem
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Abstract
We study the question of lower bounds for the Hausdorff dimension of a set in R-n containing spheres of every radius. If n greater than or equal to 3 then such a set must have dimension n. If n = 2 then it must have dimension at least 11/6. We also study the analogous maximal function problem and related problem of Besicovitch sets with an axis of symmetry.
Additional Information
© Copyright 1999 Pacific Journal of Mathematics. Received January 22, 1996 and revised May 20, 1997. The second author was supported by DMS 93-07872.Files
KOLpjm99.pdf
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- Eprint ID
- 710
- Resolver ID
- CaltechAUTHORS:KOLpjm99
Related works
- Describes
- http://pjm.math.berkeley.edu/1999/190-1/p06.html (URL)
Dates
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2005-09-16Created from EPrint's datestamp field
- Updated
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2019-10-02Created from EPrint's last_modified field