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math.FA2026
Characterisations of Sobolev spaces and constant functions over metric spaces
Tuomas Hytönen, Riikka Korte
In a doubling metric measure space supporting a Poincaré inequality, we give a new characterisation of first-order Sobolev spaces by mean oscillations, and extend prev…
math.FA2026
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…