Abstract
AbstractWe generalize the classical calculus rules satisfied by functions of bounded variation to the framework of $${\textrm{RCD}}$$
RCD
spaces. In the infinite dimensional setting, we are able to define an analogue of the distributional differential and, on finite dimensional spaces, we prove fine properties and suitable calculus rules, such as the Vol’pert chain rule for vector valued functions.
Publisher
Springer Science and Business Media LLC
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