English

BV functions and Besov spaces associated with Dirichlet spaces

Functional Analysis 2018-09-20 v2 Analysis of PDEs Metric Geometry Probability

Abstract

We develop a theory of bounded variation functions and Besov spaces in abstract Dirichlet spaces which unifies several known examples and applies to new situations, including fractals.

Keywords

Cite

@article{arxiv.1806.03428,
  title  = {BV functions and Besov spaces associated with Dirichlet spaces},
  author = {Patricia Alonso-Ruiz and Fabrice Baudoin and Li Chen and Luke Rogers and Nageswari Shanmugalingam and Alexander Teplyaev},
  journal= {arXiv preprint arXiv:1806.03428},
  year   = {2018}
}

Comments

121 pages, several figures