E. Saksman

activity

19942026

most citedOn the ergodicity of the adaptive Metropolis algorithm on unbounded domains

70 citations · 402 across the 54 of their papers we have counts for

collaborators

Showing 2014Show all

4 papers · 1 filter

math.CV2014

Quasiconformal maps with controlled Laplacian

David Kalaj, Eero Saksman

We establish that every $K$ -quasiconformal mapping of $w$ of the unit disk $\ID$ onto a $C^{2}$ -Jordan domain $Ω$ is Lipschitz provided that $Δw\in L^p(\ID)$ for some $p > 2$ . We also…

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.CV2014★ 7 cited

A hunt for sharp $L^{p}$ -estimates and rank-one convex variational integrals

Kari Astala, Tadeusz Iwaniec, István Prause +1

Learning how to figure out sharp $L^{p}$ -estimates of nonlinear differential expressions, to prove and use them, is a fundamental part of the development of PDEs and Geometric Functi…

Quasiconformal maps with controlled Laplacian

Triebel-Lizorkin spaces on metric spaces via hyperbolic fillings

Sobolev spaces and hyperbolic fillings

A hunt for sharp Lp-estimates and rank-one convex variational integrals

A hunt for sharp $L^{p}$ -estimates and rank-one convex variational integrals