[CvGmt News] seminario analisi reale ed armonica

[Daniele Castorina]

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/>

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