Besov class via heat semigroup on Dirichlet spaces I: Sobolev type inequalities

@article{Ruiz2020BesovCV,
  title={Besov class via heat semigroup on Dirichlet spaces I: Sobolev type inequalities},
  author={Patricia Alonso Ruiz and Fabrice Baudoin and Li Chen and Luke G. Rogers and Nageswari Shanmugalingam and Alexander Teplyaev},
  journal={Journal of Functional Analysis},
  year={2020}
}
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We introduce the class of bounded variation (BV) functions in a general framework of strictly local Dirichlet spaces with doubling measure. Under the 2-Poincaré inequality and a weak Bakry–Émery
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