BV functions in abstract Wiener spaces
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Publication:1048185
DOI10.1016/j.jfa.2009.09.008zbMath1194.46066OpenAlexW2035794488MaRDI QIDQ1048185
Luigi Ambrosio, Stefania Maniglia, Michele~jun. Miranda, Pallara, Diego
Publication date: 11 January 2010
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2009.09.008
Markov semigroups and applications to diffusion processes (47D07) Measures and integration on abstract linear spaces (46G12) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Continuous and differentiable maps in nonlinear functional analysis (46T20) Calculus of functions on infinite-dimensional spaces (26E15)
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Cites Work
- Hausdorff measures on the Wiener space.
- Sets of finite perimeter and the Hausdorff-Gauss measure on the Wiener space
- Towards a theory of BV functions in abstract Wiener spaces
- BV functions and distorted Ornstein Uhlenbeck processes over the abstract Wiener space
- On semi-martingale characterizations of functionals of symmetric Markov processes
- Lévy-Gromov's isoperimetric inequality for an infinite dimensional diffusion generator
- An introduction to infinite-dimensional analysis
- Su una teoria generale della misura \((r-1)\)-dimensionale in uno spazio ad \(r\) dimensioni
- On the small balls problem for equivalent Gaussian measures
- On the space of BV functions and a related stochastic calculus in infinite dimensions
- On the cases of equality in Bobkov's inequality and Gaussian rearrangement
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