ICTP Mathematics Seminar - Tuesday 3 July, at 16.00 hrs. (David BELTRAN)

[ICTP Math Section]

M A T H E M A T I C S   S E M I N A R S  2018

Tuesday 3 July, at 16.00 hrs.

David Beltran (Basque Center for Applied Mathematics)


Title: Regularity of spherical maximal functions



Abstract:
Fractional integrals and the classical fractional maximal function are 
smoothing operators, in the sense that they map Lebesgue spaces into 
first order Sobolev spaces. We show that this phenomenon continues to 
hold for the fractional spherical maximal function when the dimension of 
the ambient space is greater than or equal to 5. A key element in the 
proof is a local smoothing estimate for the wave equation.
This is joint work with Joao P. G. Ramos and Olli Saari.



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