13 citations · 27 across the 12 of their papers we have counts for
5 papers · 1 filter
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…
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…
Besov class via heat semigroup on Dirichlet spaces I: Sobolev type inequalities
Patricia Alonso-Ruiz, Fabrice Baudoin, Li Chen +3
We introduce heat semigroup-based Besov classes in the general framework of Dirichlet spaces. General properties of those classes are studied and quantitative regularization estima…
Analysis on hybrid fractals
Patricia Alonso Ruiz, Yuming Chen, Haotian Gu +2
We introduce hybrid fractals as a class of fractals constructed by gluing several fractal pieces in a specific manner and study energy forms and Laplacians on them. We consider in…
Completely Symmetric Resistance Forms on the Stretched Sierpinski Gasket
Patricia Alonso Ruiz, Uta Freiberg, Jun Kigami
The stretched Sierpinski gasket, SSG for short, is the space obtained by replacing every branching point of the Sierpinski gasket by an interval. It has also been called "deformed…