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.

Selected Topics in Analysis in Metric Measure Spaces / Capolli, Marco. - (2021 Feb 02), pp. 1-97. [10.15168/11572_288526]

Selected Topics in Analysis in Metric Measure Spaces

Capolli, Marco
2021-02-02

Abstract

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.
XXXIII
2019-2020
Matematica (29/10/12-)
Mathematics
Pinamonti, Andrea
Supervisor: Gareth Speight
no
Inglese
Settore MAT/05 - Analisi Matematica
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11572/288526
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