BV functions and fractional Laplacians on Dirichlet spaces

Ruiz Patricia Alonso,Baudoin Fabrice,Chen Li,Rogers Luke,Shanmugalingam Nageswari,Teplyaev Alexander

arxiv（2019）

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摘要

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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