5 citations · 8 across the 2 of their papers we have counts for
3 papers
math.FA2015★ 5 cited
The Besov Capacity In Metric Spaces
Juho Nuutinen
We study a capacity theory based on a definition of Hajł asz-Besov functions. We prove several properties of this capacity in the general setting of a metric space equipped with a…
math.FA2015★ 3 cited
The Riesz Capacity in Metric Spaces
Juho Nuutinen, Pilar Silvestre
We study a capacity theory based on a definition of a Riesz potential in metric spaces with a doubling measure. In this general setting, we study the basic properties of the Riesz…
math.FA2013
Fractional maximal functions in metric measure spaces
Toni Heikkinen, Juha Lehrbäck, Juho Nuutinen +1
We study the mapping properties of fractional maximal operators in Sobolev and Campanato spaces in metric measure spaces. We show that, under certain restrictions on the underlying…