3 citations · 4 across the 2 of their papers we have counts for
6 papers
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…
Existence and almost uniqueness for -harmonic Green functions on bounded domains in metric spaces
Anders Björn, Jana Björn, Juha Lehrbäck
We study (-harmonic) singular functions, defined by means of upper gradients, in bounded domains in metric measure spaces. It is shown that singular functions exist if and only…
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…