10 citations · 43 across the 42 of their papers we have counts for
6 papers · 1 filter
Self-improvement of fractional Hardy inequalities in metric measure spaces via hyperbolic fillings
Sylvester Eriksson-Bique, Josh Kline
In this paper, we prove a self-improvement result for -fractional Hardy inequalities, in both the exponent and the regularity parameter , for bounded dom…
Analytically one-dimensional planes and the Combinatorial Loewner Property
Guy C. David, Sylvester Eriksson-Bique
It is a major problem in analysis on metric spaces to understand when a metric space is quasisymmetric to a space with strong analytic structure, a so-called Loewner space. A conje…
The Combinatorial Loewner Property and super-multiplicativity inequalities for symmetric self-similar metric spaces
Riku Anttila, Sylvester Eriksson-Bique
This paper introduces a general construction of self-similar metric spaces as limits of discrete graphs. Our framework produces many classical examples, such as the Sierpiński carp…
On Constructions of Fractal Spaces Using Replacement and the Combinatorial Loewner Property
Riku Anttila, Sylvester Eriksson-Bique
The combinatorial Loewner property was introduced by Bourdon and Kleiner as a quasisymmetrically invariant substitute for the Loewner property for general fractals and boundaries o…
Universal Differentiability Sets in Laakso Space
Sylvester Eriksson-Bique, Andrea Pinamonti, Gareth Speight
We show that there exists a family of mutually singular doubling measures on Laakso space with respect to which real-valued Lipschitz functions are almost everywhere differentiable…
Fragment-wise differentiable structures
David Bate, Sylvester Eriksson-Bique, Elefterios Soultanis
The -modulus of curves, test plans, upper gradients, charts, differentials, approximations in energy and density of directions are all concepts associated to the theory of Sobol…