- Series
- School of Mathematics Colloquium
- Time
- Thursday, September 24, 2020 - 11:00am for
- Location
- https://us02web.zoom.us/j/89107379948
- Speaker
- Almut Burchard – University of Toronto – almut@math.toronto.edu – http://www.math.toronto.edu/almut/
- Organizer
- Yao Yao, Galyna Livshyts
Spaces of bounded mean oscillation (BMO) are relatively
large function spaces that are often used in place
of L^\infinity to do basic Fourier analysis.
It is not well-understood how geometric properties
of the underlying point space enters into the functional
analysis of BMO. I will describe recent work with
Galia Dafni and Ryan Gibara, where we take some
steps towards geometric inequalities.
Specifically, we show that the symmetric decreasing
rearrangement in n-dimensions is bounded, but not
continuous in BMO. The question of sharp bounds
remains open.