On a class of mean value inequalities in convex domains

Date: 2022-10-20

Time: 14:00 - 15:00

Zoom link: https://kva-se.zoom.us/j/9217561880


Simon Larson


 A consequence of the classical mean value theorem is that the average of a subharmonic function in a ball is bounded from above by its average over the boundary. What happens if we replace the ball by a different domain? In this talk we shall discuss a range of mean value inequalities for subharmonic or convex functions defined on convex domains in $\mathbb{R}^d$.