Starts 17 May 2022 16:00
Ends 17 May 2022 17:00
Central European Time
Online
Leonardo Building - Luigi Stasi Seminar Room
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Abstract: In this talk we will discuss weighted endpoint estimates for the Hardy-Littlewood maximal function on the infinite rooted $k$-ary tree. Namely, we will show a variant of the Fefferman-Stein estimate with respect to the weights $(w, M_{s}w)$. Moreover, it is shown it is sharp, in the sense that it does not hold in general if $s=1$. This result is a generalization of the unweighted case ($w\equiv1$) independently obtained by Naor-Tao and Cowling-Meda-Setti. We will also present more general sufficient conditions for the strong estimates in the case $p>1$.

This talk is based on joint works with Israel Rivera-Ríos (UNS&UMA) and Martíin Safe (UNS).
This will be a hybrid seminar. All are very welcome to join either online or in person. Venue: Luigi Stasi Seminar Room (ICTP Leonardo Da Vinci Building), for those wishing to attend in person.