- Series
- Analysis Seminar
- Time
- Wednesday, September 11, 2019 - 1:55pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Rui Han – Georgia Tech
- Organizer
- Shahaf Nitzan
Let $f$ be defined on $\mathbb{Z}$. Let $A_N f$ be the average of $f$ along the square integers.
We show that $A_N$ satisfies a local scale-free $\ell^{p}$-improving estimate, for $3/2
This parameter range is sharp up to the endpoint. We will also talk about sparse bounds for the maximal function
$A f =\sup _{N\geq 1} |A_Nf|$. This work is based on a joint work with Michael T. Lacey and Fan Yang.