ICTP Mathematics Seminar - Wednesday 30 January, at 14:30 (Carlos PEREZ)

[ICTP Math Section]

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


Wednesday 30 January, at 14:30 hrs.


Carlos Pérez (University of the Basque Country and BCAM - Spain)


Title: Maximal function on Lorentz spaces with weights: new results, and 
open problems


Abstract: The Hardy-Littlewood maximal function is a basic operator in 
Analysis. We propose to discuss some of the reasons why this operator 
plays a central role in the area. Then we will concentrate on some of 
the classical results making special emphasis in the behavior of this 
operator in the context of Lp spaces with weights. Then we will explain 
some more recent results focusing in the context of Lorentz spaces which 
are very useful extensions of the Lebesgue spaces. We have obtained some 
new results for these spaces but we don't know if they are optimal. In 
the last part of the lecture we will discuss a very interesting variant 
of the Hardy-Littlewood maximal function which is more singular called 
the strong maximal function. We will discuss briefly some classical 
results and we will mention some recent results which, again, we don't 
know if the are optimal.

VENUE:  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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