Panu Lahti

most citedNotions of Dirichlet problem for functions of least gradient in metric measure spaces

15 citations · 15 across the 5 of their papers we have counts for

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math.MG2016

Strict and pointwise convergence of BV functions in metric spaces

Panu Lahti

In the setting of a metric space $X$ equipped with a doubling measure that supports a Poincaré inequality, we show that if $u_{i} \to u$ strictly in $B V (X)$ , i.e. if $u_{i} \to u$ in $L^…

math.MG2016

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 $E$ is of finite perimeter if and only if $\mathcal H(\par…

math.MG2016

Strong approximation of sets of finite perimeter 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 any set of finite perimeter can be approximated in the BV norm b…