On Falconer's distance set conjecture
Rev. Mat. Iberoamericana, Tome 22 (2006) no. 2, p. 649-662 / Harvested from Project Euclid
In this paper, using a recent parabolic restriction estimate of Tao, we obtain improved partial results in the direction of Falconer's distance set conjecture in dimensions $d\geq 3$.
Publié le : 2006-09-14
Classification:  distance sets,  Fourier restriction estimates,  Frostman measures,  42B10
@article{1161871350,
     author = {Erdo\u gan
,  
M. Burak},
     title = {On Falconer's distance set conjecture},
     journal = {Rev. Mat. Iberoamericana},
     volume = {22},
     number = {2},
     year = {2006},
     pages = { 649-662},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1161871350}
}
Erdoğan
,  
M. Burak. On Falconer's distance set conjecture. Rev. Mat. Iberoamericana, Tome 22 (2006) no. 2, pp.  649-662. http://gdmltest.u-ga.fr/item/1161871350/