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.
2-feb-2021
XXXIII
2019-2020
Matematica (29/10/12-)
Mathematics
Pinamonti, Andrea
Supervisor: Gareth Speight
no
Inglese
Settore MAT/05 - Analisi Matematica
File in questo prodotto:
File Dimensione Formato  
Final_PhD_Thesis_Capolli.pdf

Open Access dal 23/01/2023

Descrizione: Tesi di dottorato
Tipologia: Tesi di dottorato (Doctoral Thesis)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 912.69 kB
Formato Adobe PDF
912.69 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/288526
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact