11 citations · 96 across the 32 of their papers we have counts for
39 papers
Existence and uniqueness of limits at infinity for homogeneous Sobolev functions
Pekka Koskela, Khanh Nguyen
We establish the existence and uniqueness of limits at infinity along infinite curves outside a zero modulus family for functions in a homogeneous Sobolev space under the assumptio…
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 that yield almost sure existence of radial, and vertical, limits at in…
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…
The volume of the boundary of a Sobolev -extension domain
Pekka Koskela, Alexander Ukhlov, Zheng Zhu
Let and $1\leq q<p<\fz$. We prove that if is a Sobolev -extension domain, with additional capacitory restrictions on boundary in the case $q…
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…
Pointwise inequalities for Sobolev functions on outward cuspidal domains
Sylvester Eriksson-Bique, Pekka Koskela, Jan Maly +1
We show that the first order Sobolev spaces on cuspidal symmetric domains can be characterized via pointwise inequalities. In particular, they coincide with the Hajlasz-Sobolev spa…