46 citations · 339 across the 63 of their papers we have counts for
3 papers · 1 filter
A characterization of BMO self-maps of a metric measure space
Juha Kinnunen, Riikka Korte, Niko Marola +1
This paper studies functions of bounded mean oscillation (BMO) on metric spaces equipped with a doubling measure. The main result gives characterizations for mappings that preserve…
Intrinsic Geometry and Analysis of Diffusion Processes and -Variational Problems
Pekka Koskela, Nageswari Shanmugalingam, Yuan Zhou
The aim of this paper is two-fold: First, we obtain a better understanding of the intrinsic distance of diffusion processes. Precisely, (i) for all , the diffusion matrix $A…
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…