On the Heisenberg group, the Sobolev inequality is stable with the asymptotically optimal lower bound β0/Q times the squared distance to extremals.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Asymptotically sharp stability of Sobolev inequalities on the Heisenberg group with dimension-dependent constants
On the Heisenberg group, the Sobolev inequality is stable with the asymptotically optimal lower bound β0/Q times the squared distance to extremals.