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Cari colleghi,<br>
<br>
vi inoltro questo annuncio di seminario da parte di Francesco di
Plinio:<br>
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<p
style="color:rgb(0,0,0);font-family:arial,sans-serif;font-size:13px"><big>SEMINARIO
DI ANALISI REALE ED ARMONICA - UNIVERSITA' DI ROMA TOR
VERGATA</big></p>
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<p
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Martedì 20 Maggio 2014, ore 15:45, aula Dal Passo, Facoltà
di Scienze MMFFNN, Via della ricerca scientifica 1, Roma</big></p>
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<p
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Maria Carmen Reguera Rodriguez - University of Birmingham
(UK)</big></p>
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<p
style="color:rgb(0,0,0);font-family:arial,sans-serif;font-size:13px"><big>TITOLO:
Lower bounds for fractional Riesz transforms acting on
measures supported on Cantor sets.</big></p>
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ABSTRACT: We look for lower $L^{2}$ bounds for the
$s$-dimensional Riesz transform acting on very general
measures with support on Cantor sets in $\R^d$, for
$s\in(d-1,d)$. The bounds obtained are written in terms
of the densities of the cubes appearing in the
construction of the Cantor sets. Our estimates allow us to
establish an equivalence between the capacity $\gamma_{s}$
associated with the s-dimensional Riesz kernel and the
capacity $\dot{C}_{\frac{2}{3}(d-s),\frac{3}{2}}$ from
non-linear potential theory related to the Wolff
potential. This is joint work with Xavier Tolsa
(Universitat Autonoma de Barcelona). </big></p>
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-- <br>
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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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<p class="" avgcert""="" color="#000000" align="left">Nessun virus
nel messaggio.<br>
Controllato da AVG - <a moz-do-not-send="true"
href="http://www.avg.com">www.avg.com</a><br>
Versione: 2014.0.4577 / Database dei virus: 3931/7454 - Data di
rilascio: 07/05/2014</p>
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