The paper claims optimal Bianchi-Egnell constants for a nonlocal Sobolev inequality on the Heisenberg group, but the key strict spectral bound is unproved.
Carlen, Duality and stability for functional inequalities,Ann
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Optimal Stability Bounds, Minimizers, and Critical Points for a Critical Nonlocal Sobolev Inequality on the Heisenberg Group
The paper claims optimal Bianchi-Egnell constants for a nonlocal Sobolev inequality on the Heisenberg group, but the key strict spectral bound is unproved.