Oscillations of BV measures on unbounded nested fractals
From MaRDI portal
Publication:6172326
DOI10.4171/jfg/122zbMath1528.26019arXiv2201.12274MaRDI QIDQ6172326
Patricia Alonso-Ruiz, Fabrice Baudoin
Publication date: 19 July 2023
Published in: Journal of Fractal Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.12274
oscillationsfractalsheat semigroupfunctions of bounded variationgeometric functionalsperimeter measureBV measures
Fractals (28A80) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Potential theory on fractals and metric spaces (31E05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Characterizations of sets of finite perimeter using heat kernels in metric spaces
- Dirichlet forms of fractals and products of random matrices
- Estimates of transition densities for Brownian motion of nested fractals
- Global existence theorems for harmonic maps to nonlocally compact spaces
- Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
- On-diagonal oscillation of the heat kernels on post-critically finite self-similar fractals
- Besov class via heat semigroup on Dirichlet spaces. III: BV functions and sub-Gaussian heat kernel estimates
- Besov class via heat semigroup on Dirichlet spaces. II: BV functions and Gaussian heat kernel estimates
- Besov class via heat semigroup on Dirichlet spaces. I: Sobolev type inequalities
- Su una teoria generale della misura \((r-1)\)-dimensionale in uno spazio ad \(r\) dimensioni
- Asymptotics for Functions Associated with Heat Flow on the Sierpinski Carpet
- Brownian motion on nested fractals
- Fractals in the Large
- REFLECTED BROWNIAN MOTION ON SIMPLE NESTED FRACTALS
- Heat semigroup and functions of bounded variation on Riemannian manifolds
This page was built for publication: Oscillations of BV measures on unbounded nested fractals