English

On a theorem of Grigor'yan, Hu and Lau

Probability 2016-05-16 v1

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.

Keywords

Cite

@article{arxiv.1605.04226,
  title  = {On a theorem of Grigor'yan, Hu and Lau},
  author = {Luke G. Rogers},
  journal= {arXiv preprint arXiv:1605.04226},
  year   = {2016}
}

Comments

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