ICTP ANALYSIS SEMINAR - Tuesday 17 May, at 16:00 (Sheldy Ombrosi)/hybrid seminar

[ICTP Math Section]

_ICTP ANALYSIS SEMINAR 2022
_


Starts 17 May 2022 16:00

Ends 17 May 2022 17:00

Central European Time


Title: Theory of weights in rooted k-trees

Speaker: Sheldy Ombrosi (Universidad Nacional del Sur)


In presence: Leonardo Building - Luigi Stasi Seminar Room

Online:
Register in advance for this meeting:
https://zoom.us/meeting/register/tJ0pfuirrjsoHNaP9S-AAAGJitkguz5r_2mG
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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./

/https://indico.ictp.it/event/9960/
/

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