Colloquium| Institute of Mathematical Sciences
Time：Wednesday, September 22nd, 2021, 16:00-17:00
Location：R408, IMS
Speaker: Meijun Zhu, University of Oklahoma
Abstract: We show:
holds for all
，where 
is the harmonic extension of 
to the unit ball
. Moreover, the equality holds if and only if u=c or
where c is a constant and 
. The above inequality was proved in 1921 by Carleman for all analytic functions on B1 (thus gave an analytic proof of isoperimetric inequality on simply connected domains). This is a joint work with Jingbo Dou.