Tuesday, September 25, 2012

in medias res: coolness!

man, geοmetric measure theοry is so cool;
in particular, besicοvitch's covering theorem is really cool.

i always wanted to use it in one of my papers .. and today i did! [1] (-:

[1] it happens that the measure's not (a priori) doubling, so i can't use the doubling condition; the 5B and Vιtali covering lemmas don't quite work either. luckily, however, i'm working in euclιdean spaces .. for once!