It is studied the definition and the main properties of functions with bounded variations in abstrac Wiener spaces. The paper essentially relies on the theory of Malliavin calculus and the main definitions present in literature (essentially due to Fukushima and Hino) are compared. The main original part of this paper is in the integral-geometrc approach.

Towards a theory of BV functions in abstract Wiener spaces

MIRANDA, Michele;
2010

Abstract

It is studied the definition and the main properties of functions with bounded variations in abstrac Wiener spaces. The paper essentially relies on the theory of Malliavin calculus and the main definitions present in literature (essentially due to Fukushima and Hino) are compared. The main original part of this paper is in the integral-geometrc approach.
L., Ambrosio; S., Maniglia; Miranda, Michele; D., Pallara
File in questo prodotto:
Non ci sono file associati a questo prodotto.

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/11392/533625
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 6
  • ???jsp.display-item.citation.isi??? 6
social impact