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Logarithmic Sobolev and interpolation inequalities on the sphere: constructive stability results

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Abstract

We consider Gagliardo-Nirenberg inequalities on the sphere which interpolate between the Poincaré inequality and the Sobolev inequality, and include the logarithmic Sobolev inequality as a special case. We establish explicit stability results in the subcritical regime using spectral decomposition techniques, and entropy and carré du champ methods applied to nonlinear diffusion flows.
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Dates and versions

hal-03868496 , version 1 (23-11-2022)

Identifiers

  • HAL Id : hal-03868496 , version 1

Cite

Giovanni Brigati, Jean Dolbeault, Nikita Simonov. Logarithmic Sobolev and interpolation inequalities on the sphere: constructive stability results. 2022. ⟨hal-03868496⟩
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