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Cari colleghi,<br>
<br>
vi inoltro l' annuncio di Francesco di Plinio per segnalarvi il
seguente seminario di Analisi Reale e Complessa:<br>
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style="font-family:Arial,Helvetica,sans-serif;font-size:13px;color:rgb(0,0,0)"><br>
<big><big>Dipartimento di Matematica Università di Roma “Tor
Vergata” <br>
Seminario di Analisi Reale ed Armonica <br>
Martedì 11 Marzo, ore 16, Aula Dal Passo <br>
<br>
Talk: EXTENDING SETS BY MEANS OF THE MAXIMAL FUNCTION;
CONTINUITY ESTIMATES <br>
by IOANNIS PARISSIS, DEPARTMENT OF MATHEMATICS, AALTO
UNIVERSITY, FINLAND <br>
E-mail address: <a moz-do-not-send="true"
href="mailto:ioannis.parissis@gmail.com">ioannis.parissis@gmail.com</a> <br>
Abstract. Let B be a collection of bounded open sets in
R^n such as balls, cubes, or ndimensional <br>
rectangles with sides parallel to the coordinate axes.
We let M_B f(x) denote the <br>
maximal operator associated with the collection B. <br>
We show that the enlargement of a set E defined by the
(1-epsilon) superlevel set of the maximal <br>
function M_B converges to the set E as epsilon goes to
zero, in a suitable geometric sense, defined in <br>
accordance with <br>
the geometry of B. For more general collections B (such
as homothecy invariant collections <br>
of convex sets) we state a corresponding conjecture.
This talk reports on joint work with Paul <br>
A. Hagelstein (Baylor). </big></big></span><br>
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-- <br>
<br>
Francesco Di Plinio, PhD in Pure Mathematics<br>
INdAM - Marie Curie Fellow at Dipartimento di Matematica
Università degli Studi Roma Tor Vergata<br>
Institute for Scientific Computing and Applied Mathematics at
Indiana University, Fellow<br>
<a moz-do-not-send="true"
href="http://mypage.iu.edu/%7Efradipli/" target="_blank">http://mypage.iu.edu/~fradipli/</a>
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