Geodesic
Heisenberg Hausdorff Dimension of Besicovitch Sets
Analysis and Geometry in Metric Spaces, Tome 2 (2014) no. 1

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Zbl  

We consider (bounded) Besicovitch sets in the Heisenberg group and prove that Lp estimates for the Kakeya maximal function imply lower bounds for their Heisenberg Hausdorff dimension.
Mots-clés : Besicovitch set, Kakeya maximal function, Heisenberg group, Hausdorff dimension 
Venieri, Laura. Heisenberg Hausdorff Dimension of Besicovitch Sets. Analysis and Geometry in Metric Spaces, Tome 2 (2014) no. 1. http://geodesic.mathdoc.fr/item/AGMS_2014_2_1_a11/
@article{AGMS_2014_2_1_a11,
     author = {Venieri, Laura},
     title = {Heisenberg {Hausdorff} {Dimension} of {Besicovitch} {Sets}},
     journal = {Analysis and Geometry in Metric Spaces},
     year = {2014},
     volume = {2},
     number = {1},
     zbl = {1303.28008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AGMS_2014_2_1_a11/}
}
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