Functions of bounded variation in an abstract Wiener space, i.e., an infinite-dimensional Banach space endowed with a Gaussian measure and a related differential structure, have been introduced by M. Fukushima and M. Hino using Dirichlet forms, and their properties have been studied with tools from analysis and stochastics. In this paper we reformulate, in an integral-geometric vein and with purely analytical tools, the definition and the main properties of BV functions, and investigate further properties. © 2009 Elsevier Inc. All rights reserved.

BV functions in abstract Wiener spaces

MIRANDA, Michele;Pallara D.
2010

Abstract

Functions of bounded variation in an abstract Wiener space, i.e., an infinite-dimensional Banach space endowed with a Gaussian measure and a related differential structure, have been introduced by M. Fukushima and M. Hino using Dirichlet forms, and their properties have been studied with tools from analysis and stochastics. In this paper we reformulate, in an integral-geometric vein and with purely analytical tools, the definition and the main properties of BV functions, and investigate further properties. © 2009 Elsevier Inc. All rights reserved.
2010
Ambrosio, L.; Miranda, Michele; Maniglia, S.; Pallara, D.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/1401184
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