The thesis is composed by three sections, each devoted to the study of a specific problem in the setting of PI spaces. The problem analyzed are: a C^m Lusin approximation result for horizontal curves in the Heisenberg group, a limit result in the spirit of Burgain-Brezis-Mironescu for Orlicz-Sobolev spaces in Carnot groups and the differentiability of Lipschitz functions in Laakso spaces.
| Identifer | oai:union.ndltd.org:unitn.it/oai:iris.unitn.it:11572/288526 |
| Date | 02 February 2021 |
| Creators | Capolli, Marco |
| Contributors | Supervisor: Gareth Speight, Capolli, Marco, Pinamonti, Andrea |
| Publisher | Università degli studi di Trento, place:Trento |
| Source Sets | Università di Trento |
| Language | English |
| Detected Language | English |
| Type | info:eu-repo/semantics/doctoralThesis |
| Rights | info:eu-repo/semantics/openAccess |
| Relation | firstpage:1, lastpage:97, numberofpages:97, alleditors:Supervisor: Gareth Speight |
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