Limiting Behaviour of Dirichlet Forms for Stable Processes on Metric Spaces
Katarzyna Pietruska-Pałuba · Bulletin of the Polish Academy of Sciences Mathematics · 2008
Supposing that the metric space in question supports a fractional diffusion, we prove that after introducing an appropriate multiplicative factor, the Gagliardo seminorms $\|f\|_{W^{\sigma,2}}$ of a function $f\in L^2(E,\mu)$ have the property $$\eqalig