Upper conical density results for general measures on ℝn

Upper conical density results for general measures on ℝn

We study conical density properties of general Borel measures on Euclidean spaces. Our results are analogous to the previously known result on the upper density properties of Hausdorff and packing-type measures.

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Bibliographische Detailangaben
Veröffentlicht in:Proceedings of the Edinburgh Mathematical Society 2010-06, Vol.53 (2), p.311-331
Hauptverfasser: Csörnyei, Marianna, Käenmäki, Antti, Rajala, Tapio, Suomala, Ville
Format: Artikel
Sprache:eng
Schlagworte:
28A12
Hausdorff dimension
homogeneity of measures
Primary 28A80
rectifiability
Secondary 28A75
upper conical density
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Beschreibung
Zusammenfassung:We study conical density properties of general Borel measures on Euclidean spaces. Our results are analogous to the previously known result on the upper density properties of Hausdorff and packing-type measures.
ISSN:0013-0915
1464-3839
DOI:10.1017/S0013091508001156