Capacity in subanalytic geometry
Kaiser, Tobias
Illinois J. Math., Tome 49 (2005) no. 2, p. 719-736 / Harvested from Project Euclid
In this article we study the capacity of subanalytic sets. First, we show that a subanalytic set and its closure have the same capacity. Using this, we then prove that for subanalytic sets in ${\mathbb R}^2$ the capacity density exists, and for arbitrary dimension we give connections to certain volume densities. Finally, we connect volume densities with fine limit points of subanalytic sets.
Publié le : 2005-07-15
Classification:  32B20
@article{1258138216,
     author = {Kaiser, Tobias},
     title = {Capacity in subanalytic geometry},
     journal = {Illinois J. Math.},
     volume = {49},
     number = {2},
     year = {2005},
     pages = { 719-736},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138216}
}
Kaiser, Tobias. Capacity in subanalytic geometry. Illinois J. Math., Tome 49 (2005) no. 2, pp.  719-736. http://gdmltest.u-ga.fr/item/1258138216/