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.File in questo prodotto:
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Final_PhD_Thesis_Capolli.pdf
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