6 citations · 14 across the 10 of their papers we have counts for
10 papers
Elliptic Harnack inequality and Poincaré inequality for -energies on metric measure spaces
Meng Yang
For and a -energy on a volume doubling metric measure space, we prove the Poincaré inequality under the elliptic Harnack inequality, two-sided capacity bounds, and additio…
Gradient Estimate for the Heat Kernel on Some Fractal-Like Cable Systems and Quasi-Riesz Transforms
Baptiste Devyver, Emmanuel Russ, Meng Yang
We give pointwise upper estimate for the gradient of the heat kernel on some fractal-like cable systems including the Vicsek and the Sierpiński cable systems. Applications to …
On the Domains of Dirichlet Forms on Metric Measure Spaces
Meng Yang
We prove that the domain of the local Dirichlet form is strictly contained in the domain of any stable-like non-local Dirichlet form on general metric measure spaces.
Mosco Convergence of Stable-Like Non-Local Dirichlet Forms on Metric Measure Spaces
Meng Yang
We prove that stable-like non-local Dirichlet forms converge to local Dirichlet form in the sense of Mosco on metric measure spaces. We prove that subordinated Dirichlet forms conv…
Metrics and Uniform Harnack Inequality on the Strichartz Hexacarpet
Meng Yang
We construct \emph{intrinsic} metrics on the Strichartz hexacarpet using weight functions and show that these metrics do \emph{not} satisfy the chain condition. We give uniform Har…
Local and Non-Local Dirichlet Forms on the Sierpiński Gasket and the Sierpiński Carpet
Meng Yang
This thesis is about local and non-local Dirichlet forms on the Sierpiński gasket and the Sierpiński carpet. We are concerned with the following three problems in analysis on the S…