SEMINARIO DI MATEMATICA

Giovedì 23 novembre 2017

ore 15:00

 

Scuola Normale Superiore

Pisa

Aula Bianchi Scienze

 

 Blazej Wrobel

(Università di Wroclaw, Polonia e di Università di Bonn, Germania)

terrà un seminario dal titolo:

 

 

“Dimension-free variational inequalities for averaging operators in R^d”

 

Abstract:

In 1982 E.M. Stein proved that the centered Hardy-Littlewood maximal function for the Euclidean ball satisfies dimension-free estimates on L^p(R^d) 1<p<\infty. Stein's result has been later generalized to include other symmetric convex bodies by Bourgain, Carbery, and Müller. The purpose of this talk is to describe a recent variation on the same theme, with the supremum in the definition of the maximal  function being replaced by the r-variational seminorm.  The talk is based on joint work with Jean Bourgain, Mariusz Mirek, and  Elias M. Stein.

 

 

Tutti gli interessati sono invitati a partecipare.

 

Classe di Scienze Matematiche e Naturali