P. Koskela

activity

20062022

most citedTrace and density results on regular trees

11 citations · 96 across the 32 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.AP2020

The volume of the boundary of a Sobolev $(p, q)$ -extension domain

Pekka Koskela, Alexander Ukhlov, Zheng Zhu

Let $n \geq 2$ and $1\leq q<p<\fz$. We prove that if $Ω \subset R^{n}$ is a Sobolev $(p, q)$ -extension domain, with additional capacitory restrictions on boundary in the case $q…

math.CV2020

Sobolev homeomorphic extensions onto John domains

Pekka Koskela, Aleksis Koski, Jani Onninen

Given the planar unit disk as the source and a Jordan domain as the target, we study the problem of extending a given boundary homeomorphism as a Sobolev homeomorphism. For general…

The volume of the boundary of a Sobolev (p,q)-extension domain

Sobolev homeomorphic extensions onto John domains

The volume of the boundary of a Sobolev $(p, q)$ -extension domain