M. Bonk

activity

20002022

most citedUniformization of Sierpiński carpets in the plane

46 citations · 73 across the 7 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.CA2014

Triebel-Lizorkin spaces on metric spaces via hyperbolic fillings

Mario Bonk, Eero Saksman, Tomás Soto

We give a new characterization of (homogeneous) Triebel-Lizorkin spaces $F ˙_{p, q}^{s} (Z)$ in the smoothness range $0 < s < 1$ for a fairly general class of metric mea…

math.CV2014

Sobolev spaces and hyperbolic fillings

Mario Bonk, Eero Saksman

Let $Z$ be an Ahlfors $Q$ -regular compact metric measure space, where $Q > 0$ . For $p > 1$ we introduce a new (fractional) Sobolev space $A^{p} (Z)$ consisting of functions whose extensio…

math.DS2014

Quasisymmetries of Sierpiński carpet Julia sets

Mario Bonk, Misha Lyubich, Sergei Merenkov

We prove that if $ξ$ is a quasisymmetric homeomorphism between Sierpiński carpets that are the Julia sets of postcritically-finite rational maps, then $ξ$ is the restriction of a M…