15 citations · 15 across the 8 of their papers we have counts for
8 papers
BV functions and nonlocal functionals in metric measure spaces
Panu Lahti, Andrea Pinamonti, Xiaodan Zhou
We study the asymptotic behavior of three classes of nonlocal functionals in complete metric spaces equipped with a doubling measure and supporting a Poincaré inequality. We show t…
BMO-type functionals, total variation, and -convergence
Panu Lahti, Quoc-Hung Nguyen
We study the BMO-type functional , which can be used to characterize BV functions . The -limit of this functional, taken wi…
Alberti's rank one theorem and quasiconformal mappings in metric measure spaces
Panu Lahti
We investigate a version of Alberti's rank one theorem in Ahlfors regular metric spaces, as well as a connection with quasiconformal mappings. More precisely, we give a proof of th…
A characterization of BV and Sobolev functions via nonlocal functionals in metric spaces
Panu Lahti, Andrea Pinamonti, Xiaodan Zhou
We study a characterization of BV and Sobolev functions via nonlocal functionals in metric spaces equipped with a doubling measure and supporting a Poincaré inequality. Compared wi…
Strict and pointwise convergence of BV functions in metric spaces
Panu Lahti
In the setting of a metric space equipped with a doubling measure that supports a Poincaré inequality, we show that if strictly in , i.e. if in $L^…
A Federer-style characterization of sets of finite perimeter on metric spaces
Panu Lahti
In the setting of a metric space equipped with a doubling measure that supports a Poincaré inequality, we show that a set is of finite perimeter if and only if $\mathcal H(\par…