Abstract

In this talk we show that if a measure of dimension s on Rd admits (p, q) Fourier restriction for some endpoint exponents allowed by its dimension, namely q =s/d p’ for some p > 1, then a dicotomy holds: the measure is either absolutely continuous or purely 1-unrectifiable.

Based on a joint work with Giacomo Del Nin.

Link to the session:
https://us06web.zoom.us/j/99649860282?pwd=SE0vemtYMFlwbFBNTXQyOTBONG0vZz09


More info at https://sites.google.com/view/apdebilbao/home