New sphericalization and flattening mappings on metric spaces preserve doubling measures and Besov energies, with compositions biLipschitz equivalent to the original.
and Bj¨orn, J., Nonlinear Potential Theory on Metric Spaces, EMS Tracts in Mathematics 17, European Math
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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.