Beckner, Sobolev inequalities, the Poisson semigroup, and analysis on the sphere Sn

· 1992

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math.AP · 2025-07-17 · conditional · novelty 7.0

On the Heisenberg group, the Sobolev inequality is stable with the asymptotically optimal lower bound β0/Q times the squared distance to extremals.

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Asymptotically sharp stability of Sobolev inequalities on the Heisenberg group with dimension-dependent constants math.AP · 2025-07-17 · conditional · none · ref 3
On the Heisenberg group, the Sobolev inequality is stable with the asymptotically optimal lower bound β0/Q times the squared distance to extremals.