3 citations · 4 across the 3 of their papers we have counts for
6 papers · 1 filter
Self-improving properties of weighted norm inequalities on metric measure spaces
Juha Kinnunen, Juha Lehrbäck, Antti V. Vähäkangas +1
This work discusses self-improving properties of the Muckenhoupt condition and weighted norm inequalities for the Hardy-Littlewood maximal function on metric measure spaces with a…
Fractional Poincaré and localized Hardy inequalities on metric spaces
Bartłomiej Dyda, Juha Lehrbäck, Antti V. Vähäkangas
We prove fractional Sobolev-Poincaré inequalities, capacitary versions of fractional Poincaré inequalities, and pointwise and localized fractional Hardy inequalities in a metric sp…
Self-improvement of weighted pointwise inequalities on open sets
Sylvester Eriksson-Bique, Juha Lehrbäck, Antti V. Vähäkangas
We prove a general self-improvement property for a family of weighted pointwise inequalities on open sets, including pointwise Hardy inequalities with distance weights. For this pu…
A maximal function approach to two-measure Poincaré inequalities
Juha Kinnunen, Riikka Korte, Juha Lehrbäck +1
This paper extends the self-improvement result of Keith and Zhong in [16] to the two-measure case. Our main result shows that a two-measure -Poincaré inequality for $1<p<\in…
Maximal function estimates and self-improvement results for Poincaré inequalities
Juha Kinnunen, Juha Lehrbäck, Antti V. Vähäkangas +1
Our main result is an estimate for a sharp maximal function, which implies a Keith-Zhong type self-improvement property of Poincaré inequalities related to differentiable structure…
Muckenhoupt -properties of distance functions and applications to Hardy-Sobolev -type inequalities
Bartłomiej Dyda, Lizaveta Ihnatsyeva, Juha Lehrbäck +2
Let be a metric space equipped with a doubling measure. We consider weights , where is a closed set in and . We estab…