- Series
- Analysis Seminar
- Time
- Wednesday, April 16, 2025 - 2:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Joris Roos – University of Massachusetts Lowell – joris_roos@uml.edu
- Organizer
- Anastasios Fragkos
The talk will be about spherical maximal functions with a supremum restricted to a given set E. The sharp Lp improving regions of these operators depend on various fractal dimensions of the set E such as the Minkowski dimension, quasi-Assouad dimension and certain intermediate dimensions.
A surprising aspect is that the sharp exponent regions need not be polygons; instead their boundary may follow an arbitrary convex curve in some critical region.
The talk will be about some old and some new results.
If time allows, we will also discuss a related fractal variant of the local smoothing problem for the wave equation.