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math.FA2015★ 2 cited
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…
math.FA2015★ 2 cited
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…