[CvGmt News] seminario analisi reale ed armonica
Daniele Castorina
castorin at mat.uniroma2.it
Wed May 14 10:03:03 CEST 2014
Cari colleghi,
vi inoltro questo annuncio di seminario da parte di Francesco di Plinio:
SEMINARIO DI ANALISI REALE ED ARMONICA - UNIVERSITA' DI ROMA TOR VERGATA
DATA/LUOGO: Martedì 20 Maggio 2014, ore 15:45, aula Dal Passo, Facoltà
di Scienze MMFFNN, Via della ricerca scientifica 1, Roma
SPEAKER: Maria Carmen Reguera Rodriguez - University of Birmingham (UK)
TITOLO: Lower bounds for fractional Riesz transforms acting on measures
supported on Cantor sets.
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).
--
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/>
Nessun virus nel messaggio.
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rilascio: 07/05/2014
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