BV functions and fractional Laplacians on Dirichlet spaces

Abstract

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.

Natural ovelap in the framework section (2.1) which has been previously introduced by the authors in arXiv:1903.10078

References in corpus (1)

• Gamma-convergence of nonlocal perimeter functionals