46 citations · 162 across the 32 of their papers we have counts for
3 papers · 1 filter
Regularity of the local fractional maximal function
Toni Heikkinen, Juha Kinnunen, Janne Korvenpää +1
This paper studies smoothing properties of the local fractional maximal operator, which is defined in a proper subdomain of the Euclidean space. We prove new pointwise estimates fo…
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…
Parabolic comparison principle and quasiminimizers in metric measure spaces
Juha Kinnunen, Mathias Masson
We give several characterizations of parabolic (quasisuper)- minimizers in a metric measure space equipped with a doubling measure and supporting a Poincaré inequality. We also pro…