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BV functions and fractional Laplacians on Dirichlet spaces

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 Publication date 2019
  fields Physics
and research's language is English




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We study $L^p$ Besov critical exponents and isoperimetric and Sobolev inequalities associated with fractional Laplacians on metric measure spaces. The main tool is the theory of heat semigroup based Besov classes in Dirichlet spaces that was introduced by the authors in previous works.



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