10 citations · 43 across the 42 of their papers we have counts for
3 papers · 1 filter
Self-improvement of pointwise Hardy inequality
Sylvester Eriksson-Bique, Antti V. Vähäkangas
We prove the self-improvement of a pointwise -Hardy inequality. The proof relies on maximal function techniques and a characterization of the inequality by curves.
Asymptotic behavior of BV functions and sets of finite perimeter in metric measure spaces
Sylvester Eriksson-Bique, James T. Gill, Panu Lahti +1
In this paper, we study the asymptotic behavior of BV functions in complete metric measure spaces equipped with a doubling measure supporting a -Poincaré inequality. We show tha…
Equivalence of two BV classes of functions in metric spaces, and existence of a Semmes family of curves under a -Poincaré inequality
Estibalitz Durand-Cartagena, Sylvester Eriksson-Bique, Riikka Korte +1
We consider two notions of functions of bounded variation in complete metric measure spaces, one due to Martio and the other due to Miranda~Jr. We show that these two notions coinc…