- Series
- Analysis Seminar
- Time
- Wednesday, April 17, 2024 - 2:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- John Hoffman – Florida State University
- Organizer
- Benjamin Jaye
We present new results concerning characterizations of the spaces C1,α and “LIα+1” for 0<α<1. The space LIα+1 is the space of Lipschitz functions with α-order fractional derivative having bounded mean oscillation. These characterizations involve geometric square functions which measure how well the graph of a function is approximated by a hyperplane at every point and scale. We will also discuss applications of these results to higher-order rectifiability.