On the Space of BV Functions and a Related Stochastic Calculus in Infinite Dimensions

By M. Fukushima, M. Hino. 2001

82 citations recorded by the source corpus.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/fb7709dc2b0fa33d4ffbf3424d36f9d0c5b5d56e

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In Applied Mathematics

1. Luigi Ambrosio
2. Stefania Maniglia
3. Michele Miranda Jr.
4. A. V. Kolesnikov
5. D. Pallara
6. Emanuel Milman
7. Nicola Gigli
8. Filippo Santambrogio

Citations in the corpus

• Mosco convergence of Dirichlet forms in infinite dimensions with changing reference measures (2006, background): “Some results on the BV functions from the point of view of the Dirichlet forms theory are obtained in [14,15].”
• BV functions in abstract Wiener spaces (2010, methodology): “BV functions in an abstract Wiener space, i.e., a Banach space X endowed with a Gaussian measure γ and a related differential structure, have been defined by M. Fukushima in [18], M. Fukushima and M. Hino in [19], relying upon Dirichlet forms theory.”