REMINDER: Mathematics Seminar at ICTP - Tuesday 18 June at 16:00 (Cristian GONZALEZ-RIQUELME)

[ICTP Math Section]

M A T H E M A T I C S   S E M I N A R S  2019


Tuesday 18 June, at 16:00 hrs.


Speaker: Cristian González-Riquelme (IMPA)


Title: The variation of maximal functions on Euclidean spaces and spheres


Abstract: Maximal operators are central objects of study in harmonic 
analysis. The most classical example is the Hardy-Littlewood maximal 
operator (in both its centered and uncentered form) but there are also 
other interesting ones, for instance the ones associated to a 
convolution with a smooth kernel. In this introductory talk we will 
introduce the sub-area of harmonic analysis that studies how the 
variation of a maximal function behaves with respect to the initial 
data. We will discuss the classical results in this topic (most of them 
dealing with the one dimensional case) and later we will talk about some 
recent results that deal with the higher dimensional case when 
restricted to radial data. Also we will show some analogues of these 
problems when the domain of the functions are non-trivial manifolds, in 
particular a recent result on the d-sphere.


http://indico.ictp.it/event/8975/


VENUE:  Luigi Stasi Seminar Room (ICTP Leonardo da Vinci Building, first 
floor)

-- 
Koutou Mabilo
ICTP Mathematics Group
Leonardo Da Vinci Building
Strada Costiera no. 11
34151 Trieste, Italy
Tel. no.: +39-040-2240455

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