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math.FA2020
Yet another heat semigroup characterization of BV functions on Riemannian manifolds
Patricia Alonso Ruiz, Fabrice Baudoin
This paper provides a characterization of functions of bounded variation (BV) in a compact Riemannian manifold in terms of the short time behavior of the heat semigroup. In particu…
math.FA2020
Gagliardo-Nirenberg, Trudinger-Moser and Morrey inequalities on Dirichlet spaces
Patricia Alonso Ruiz, Fabrice Baudoin
With a view towards Riemannian or sub-Riemannian manifolds, RCD metric spaces and specially fractals, this paper makes a step further in the development of a theory of heat semigro…