Heisenberg Hausdorff Dimensionof Besicovitch Sets

Heisenberg Hausdorff Dimensionof Besicovitch Sets

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

Bibliographic Details
Main Author: Venieri Laura
Format: Article
Language:English
Published: De Gruyter 2014-01-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
besicovitch set
kakeya maximal function
heisenberg group
hausdorff dimension
Online Access:https://doi.org/10.2478/agms-2014-0013

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