61 citations · 217 across the 16 of their papers we have counts for
5 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…
Arithmetic three-spheres theorems for quasilinear Riccati type inequalities
Seppo Granlund, Niko Marola
We consider arithmetic three-spheres inequalities to solutions of certain second order quasilinear elliptic differential equations and inequalities with a Riccati-type drift term.
Boundary measures, generalized Gauss-Green formulas, and mean value property in metric measure spaces
Niko Marola, Michele Miranda, Nageswari Shanmugalingam
We study mean value properties of harmonic functions in metric measure spaces. The metric measure spaces we consider have a doubling measure and support a (1,1)- Poincaré inequalit…
Aspects of local to global results
Ritva Hurri-Syrjänen, Niko Marola, Antti V. Vähäkangas
We establish local to global results for a function space which is larger than the well known BMO space, and was also introduced by John and Nirenberg.
On the Harnack inequality for parabolic minimizers in metric measure spaces
Niko Marola, Mathias Masson
In this note we consider problems related to parabolic partial differential equations in geodesic metric measure spaces, that are equipped with a doubling measure and a Poincaré in…