2 papers
math.CA2011
Comparisons of relative BV-capacities and Sobolev capacity in metric spaces
Heikki Hakkarainen, Nageswari Shanmugalingam
We study relations between the variational Sobolev 1-capacity and versions of variational BV-capacity in a complete metric space equipped with a doubling measure and supporting a w…
math.CA2011
The variable exponent BV-Sobolev capacity
Heikki Hakkarainen, Matti Nuortio
In this article we study basic properties of the mixed BV-Sobolev capacity with variable exponent p. We give an alternative way to define mixed type BV-Sobolev-space which was orig…