Insitute of Mathematical Science

# Colloquium: L_1 ISOPERIMETRIC INEQUALITY ON THE UNIT DISK

Colloquium| Institute of Mathematical Sciences

Time：Wednesday, September 22nd, 2021, 16:00-17:00

LocationR408, IMS

Speaker: Meijun Zhu, University of Oklahoma

Abstract: We show:

holds for allwhere 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.

200031（岳阳路校区）