15 citations · 54 across the 42 of their papers we have counts for
7 papers · 1 filter
Discrete convolutions of BV functions in quasiopen sets in metric spaces
Panu Lahti
We study fine potential theory and in particular partitions of unity in quasiopen sets in the case . Using these, we develop an analog of the discrete convolution technique in…
A sharp Leibniz rule for BV functions in metric spaces
Panu Lahti
We prove a Leibniz rule for BV functions in a complete metric space that is equipped with a doubling measure and supports a Poincaré inequality. Unlike in previous versions of the…
Asymptotic behavior of BV functions and sets of finite perimeter in metric measure spaces
Sylvester Eriksson-Bique, James T. Gill, Panu Lahti +1
In this paper, we study the asymptotic behavior of BV functions in complete metric measure spaces equipped with a doubling measure supporting a -Poincaré inequality. We show tha…
Modulus of families of sets of finite perimeter and quasiconformal maps between metric spaces of globally -bounded geometry
Rebekah Jones, Panu Lahti, Nageswari Shanmugalingam
We generalize a result of J. C. Kelly to the setting of Ahlfors -regular metric measure spaces supporting a -Poincaré inequality. It is shown that if and are two Ahlf…
Approximation of BV by SBV functions in metric spaces
Panu Lahti
In a complete metric space that is equipped with a doubling measure and supports a Poincaré inequality, we show that functions of bounded variation (BV functions) can be approximat…
Federer's characterization of sets of finite perimeter in metric spaces
Panu Lahti
Federer's characterization of sets of finite perimeter states (in Euclidean spaces) that a set is of finite perimeter if and only if the measure-theoretic boundary of the set has f…
A new Cartan-type property and strict quasicoverings when in metric spaces
Panu Lahti
In a complete metric space that is equipped with a doubling measure and supports a Poincaré inequality, we prove a new Cartan-type property for the fine topology in the case .…