Heisenberg Hausdorff Dimensionof Besicovitch Sets

Laura Venieri

Type: Article

Publication Date: 2014-01-01

Citations: 1

DOI: https://doi.org/10.2478/agms-2014-0013

Abstract

Abstract We consider (bounded) Besicovitch sets in the Heisenberg group and prove that L p estimates forthe Kakeya maximal function imply lower bounds for their Heisenberg Hausdorff dimension.

Locations

Analysis and Geometry in Metric Spaces - View - PDF
arXiv (Cornell University) - View - PDF
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Works Cited by This (8)

Action	Title	Year	Authors
+	Fourier Analysis and Hausdorff Dimension	2015	Pertti Mattila
+ PDF Chat	An improved bound for Kakeya type maximal functions	1995	Thomas Wolff
+ PDF Chat	New bounds for Kakeya problems	2002	N. Katz Terence Tao
+	The Bochner-Riesz conjecture implies the restriction conjecture	1999	Terence Tao
+	Besicovitch type maximal operators and applications to fourier analysis	1991	Jean Bourgain
+	On the Dimension of Kakeya Sets and Related Maximal Inequalities	1999	Jean Bourgain
+ PDF Chat	Bounds on arithmetic projections, and applications to the Kakeya conjecture	1999	Nets Hawk Katz Terence Tao
+	Some remarks on the Kakeya problem	1971	Roy O. Davies