| Description |
Register in advance for this meeting: https://zoom.us/meeting/register/tJ0pfuirrjsoHNaP9S-AAAGJitkguz5r_2mG After registering, you will receive a confirmation email containing information about joining the meeting. 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). |
Theory of weights in rooted k-trees
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