On a theorem of Grigor'yan, Hu and Lau

Abstract

We refine a result of Grigor'yan, Hu and Lau to give a moment condition on a heat kernel which characterizes the critical exponent at which a family of Besov spaces associated to the Dirichlet energy becomes trivial.

arXiv commentThe refinement made here is mathematically elementary. It is only posted because the weaker result in the original paper is frequently used