reminder: ICTP ANALYSIS SEMINAR - Thursday 12 September, at 14:00 - Sheldi Ombrosi

[ICTP Math Section]

ICTP Analysis seminars - 2024


Thursday 12 Sep 2024, at 14:00


Venue: Leonardo Building - Luigi Stasi Seminar Room


Speaker: Sheldi Ombrosi (Instituto de Matemática de Bahía Blanca - 
Argentina, and Universidad Complutense de Madrid - Spain)


Title: Weighted maximal inequalities on hyperbolic spaces


Abstract: In this talk we present a weight theory in the setting of 
hyperbolic spaces. Our starting point is a variant of the well-known 
endpoint Fefferman-Stein inequality for the centered Hardy-Littlewood 
maximal function. Our approach is based on a combination of geometrical 
arguments and techniques used in the discrete setting of regular trees 
by Naor and Tao (2010). If time permits, we will also mention some 
results for $p>1$ and explain the challenges in obtaining similar 
results in the context of non-compact symmetric spaces in general. This 
talk is based on a joint work with J. Antezana.