31 citations · 88 across the 10 of their papers we have counts for
4 papers · 1 filter
Self-improvement of uniform fatness revisited
Juha Lehrbäck, Heli Tuominen, Antti V. Vähäkangas
We give a new proof for the self-improvement of uniform p-fatness in the setting of general metric spaces. Our proof is based on rather standard methods of geometric analysis, and…
Removable singularities for div v = f in weighted Lebesgue spaces
Laurent Moonens, Emmanuel Russ, Heli Tuominen
Let be apositive weight. Assuming that a doubling condition and an Poincaré inequality on balls for the measure , as well as a growth conditio…
Approximation and quasicontinuity of Besov and Triebel-Lizorkin functions
Toni Heikkinen, Pekka Koskela, Heli Tuominen
We show that, for , , , Hajłasz-Besov and Hajłasz-Triebel-Lizorkin functions can be approximated in the norm by discrete median convolutions. This al…
Approximation by Hölder functions in Besov and Triebel-Lizorkin spaces
Toni Heikkinen, Heli Tuominen
In this paper, we show that Besov and Triebel-Lizorkin functions can be approximated by a Hölder continuous function both in the Lusin sense and in norm. The results are proven in…