BV functions and fractional Laplacians on Dirichlet spaces

2019/10/28 by Ruiz, Patricia Alonso, Baudoin, Fabrice, Chen, Li +3
#26A45 #28A80 #31C25 #46E35 #60J45 #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #Mathematical Physics (math-ph) #Metric Geometry (math.MG) #Probability (math.PR)

paper · doi:10.48550/arxiv.1910.13330

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.

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