1 citations · 1 across the 4 of their papers we have counts for
5 papers
Sobolev extensions, interpolation inequalities and consequences
Rupert L. Frank, Pekka Koskela, Riddhi Mishra
We prove Sobolev interpolation inequalities on extension domains that have a form reminiscent of the corresponding whole-space inequalities. This form is crucial in certain applica…
Exceptional Sets for Quasiconformal Mappings in General Metric Spaces II
Behnam Esmayli, Pekka Koskela, Khanh Nguyen
A homemorphism between domains in , is quasiconformal, with its intricate analytic and geometric consequences, if the (pointwise) linear dilatation -- a purel…
Limits at infinity for functions in fractional Sobolev spaces
Angha Agarwal, Pekka Koskela, Kaushik Mohanta
We establish optimal results on limits at infinity for functions in fractional Sobolev spaces.
Homeomorphic Sobolev extensions of parametrizations of Jordan curves
Ondrěj Bouchala, Jarmo Jääskeläinen, Pekka Koskela +2
Each homeomorphic parametrization of a Jordan curve via the unit circle extends to a homeomorphism of the entire plane. It is a natural question to ask if such a homeomorphism can…
Large-scale behaviour of Sobolev functions in Ahlfors regular metric measure spaces
Josh Kline, Pekka Koskela, Khanh Nguyen
In this paper, we study the behaviour at infinity of -Sobolev functions in the setting of Ahlfors -regular metric measure spaces supporting a -Poincaré inequality. By intr…