New sphericalization and flattening mappings on metric spaces preserve doubling measures and Besov energies, with compositions biLipschitz equivalent to the original.
and Li, X., Sphericalization and p-harmonic functions on unbounded domains in Ahlfors regular spaces, J
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Preserving Besov (fractional Sobolev) energies under sphericalization and flattening
New sphericalization and flattening mappings on metric spaces preserve doubling measures and Besov energies, with compositions biLipschitz equivalent to the original.