Monday Analysis Seminar: Averaging property of capacity

2014-7-28 14:45 - 2014-7-28 16:15
Faculty of Science Buliding #3 Room 210
Tsubasa Itoh (Tokyo Institute of Technology)
In this talk, we consider the distribution of a subset of $\mathbb{R}^n$ with respect to the $p$-capacity. Stegenga (1980) investigated the distribution with respect to the logarithmic capacity and he proved that the averaging property holds for logarithmic capacity. We show that the same averaging property holds for the $p$-capacity.
(Joint work with Hiroaki Aikawa).