[CvGmt News] Seminario di Analisi Reale ed Armonica

[Daniele Castorina]

Cari colleghi,

vi inoltro l' annuncio di Francesco di Plinio per segnalarvi il seguente 
seminario di Analisi Reale e Complessa:


Dipartimento di Matematica Università di Roma "Tor Vergata"
Seminario di Analisi Reale ed Armonica
Martedì 11 Marzo, ore 16, Aula Dal Passo

Talk: EXTENDING SETS BY MEANS OF THE MAXIMAL FUNCTION; CONTINUITY ESTIMATES
by IOANNIS PARISSIS, DEPARTMENT OF MATHEMATICS, AALTO UNIVERSITY, FINLAND
E-mail address: ioannis.parissis at gmail.com 
<mailto:ioannis.parissis at gmail.com>
Abstract. Let B be a collection of bounded open sets in R^n such as 
balls, cubes, or ndimensional
rectangles with sides parallel to the coordinate axes. We let M_B f(x) 
denote the
maximal operator associated with the collection B.
We show  that the enlargement of a set E defined by the (1-epsilon) 
superlevel set of the maximal
function M_B converges to the set E as epsilon goes to zero, in a 
suitable geometric sense, defined in
accordance with
the geometry of B.  For more general collections B (such as homothecy 
invariant collections
of convex sets) we state a corresponding conjecture. This talk reports 
on joint work with Paul
A. Hagelstein (Baylor).



-- 

Francesco Di Plinio, PhD in Pure Mathematics
INdAM - Marie Curie Fellow at Dipartimento di Matematica Università 
degli Studi Roma Tor Vergata
Institute for Scientific Computing and Applied Mathematics at Indiana 
University, Fellow
http://mypage.iu.edu/~fradipli/ <http://mypage.iu.edu/%7Efradipli/>


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