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

Voir la notice de l'article provenant de la source The Polish Digital Mathematics Library

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 
@article{AGMS_2014_2_1_a11,
     author = {Venieri, Laura},
     title = {Heisenberg {Hausdorff} {Dimension} of {Besicovitch} {Sets}},
     journal = {Analysis and Geometry in Metric Spaces},
     publisher = {mathdoc},
     volume = {2},
     number = {1},
     year = {2014},
     zbl = {1303.28008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/AGMS_2014_2_1_a11/}
}
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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/