Seminario del 2014

Marzo
06
2014
Prof. Kevin Wildrick (Université de Fribourg), ospite di Annalisa Baldi nell’ambito di un progetto GNAMPA
Dimension distortion by Sobolev mappings on the Heisenberg group
nell'ambito della serie: SEMINARI DI ANALISI MATEMATICA BRUNO PINI
analisi matematica
The Heisenberg group is equipped with a foliation by horizontal lines that differs substantially from the standard foliation of Euclidean space by lines. We investigate the behavior of Sobolev mappings on this foliation. It is a fundamental property of Sobolev mappings that they are absolutely continuous on almost every line; we estimate the quantity of lines whose image under a Sobolev mapping has dimension at least a fixed number d>1.
organizzato da: Bruno Franchi e Annalisa Baldi

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