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most citedBV functions and fractional Laplacians on Dirichlet spaces

4 citations · 5 across the 4 of their papers we have counts for

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math.MG2019★ 4 cited

BV functions and fractional Laplacians on Dirichlet spaces

Patricia Alonso Ruiz, Fabrice Baudoin, Li Chen +3

We study Besov critical exponents and isoperimetric and Sobolev inequalities associated with fractional Laplacians on metric measure spaces. The main tool is the theory of he…

math.MG2018

Besov class via heat semigroup on Dirichlet spaces II: BV functions and Gaussian heat kernel estimates

Patricia Alonso-Ruiz, Fabrice Baudoin, Li Chen +3

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 we…

math.MG2017

Riesz transforms for bounded Laplacians on graphs

Li Chen, Thierry Coulhon, Bobo Hua

We study several problems related to the boundedness of Riesz transforms for graphs endowed with so-called bounded Laplacians. Introducing a proper notion of gradient of f…