46 citations · 162 across the 32 of their papers we have counts for
4 papers · 1 filter
Dyadic John-Nirenberg space
Juha Kinnunen, Kim Myyryläinen
We discuss the dyadic John-Nirenberg space that is a generalization of functions of bounded mean oscillation. A John-Nirenberg inequality, which gives a weak type estimate for the…
A median approach to differentiation bases
Toni Heikkinen, Juha Kinnunen
We study a version of the Lebesgue differentiation theorem in which the integral averages are replaced with medians over Busemann--Feller differentiation bases. Our main result giv…
Relaxation and integral representation for functionals of linear growth on metric measure spaces
Heikki Hakkarainen, Juha Kinnunen, Panu Lahti +1
This article studies an integral representation of functionals of linear growth on metric measure spaces with a doubling measure and a Poincaré inequality. Such a functional is def…
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…