10 citations · 10 across the 3 of their papers we have counts for
3 papers
math.FA2024
Preserving Besov (fractional Sobolev) energies under sphericalization and flattening
Anders Björn, Jana Björn, Riikka Korte +2
We introduce a new sphericalization mapping for metric spaces that is applicable in very general situations, including totally disconnected fractal type sets. For an unbounded comp…
math.FA2020
Poincaré inequalities and compact embeddings from Sobolev type spaces into weighted spaces on metric spaces
Jana Björn, Agnieszka Kałamajska
We study compactness and boundedness of embeddings from Sobolev type spaces on metric spaces into spaces with respect to another measure. The considered Sobolev spaces can be…
math.AP2018★ 10 cited
Sphericalization and p-harmonic functions on unbounded domains in Ahlfors regular metric spaces
Anders Bjorn, Jana Bjorn, Xining Li
We use sphericalization to study the Dirichlet problem, Perron solutions and boundary regularity for p-harmonic functions on unbounded sets in Ahlfors regular metric spaces. Bounda…