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

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3 papers · 1 filter

math.AP2022

On Limits at Infinity of Weighted Sobolev Functions

Sylvester Eriksson-Bique, Khanh Nguyen, Pekka Koskela

We study necessary and sufficient conditions for a Muckenhoupt weight $w \in L_{loc}^{1} (R^{d})$ that yield almost sure existence of radial, and vertical, limits at in…

math.AP2021

The extension property for domains with one singular point

Pekka Koskela, Zheng Zhu

An arbitrary outward cuspidal domain is shown to be bi-Lipschitz equivalent to a Lipschitz outward cuspidal domain via a global transformation. This allows us to extend earlier Sob…

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…

On Limits at Infinity of Weighted Sobolev Functions

The extension property for domains with one singular point

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

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