Potential spaces on fractals
Volume 170 / 2005
Studia Mathematica 170 (2005), 259-281
MSC: Primary 31C28; Secondary 46E58.
DOI: 10.4064/sm170-3-4
Abstract
We introduce potential spaces on fractal metric spaces, investigate their embedding theorems, and derive various Besov spaces. Our starting point is that there exists a local, stochastically complete heat kernel satisfying a two-sided estimate on the fractal considered.
