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- W4288548712 abstract "In this paper, we offer a proof for a family of functional inequalities interpolating between the Poincar{'e} and the logarithmic Sobolev (standard and weighted) inequalities. The proofs rely both on entropy flows and on a CD($rho$, n) condition, either with $rho$ = 0 and n > 0, or with $rho$ > 0 and n $in$ R. As such, results are valid in the case of a Riemannian manifold, which constitutes a generalization to what was proved in [BGS18, Ngu18]." @default.
- W4288548712 created "2022-07-29" @default.
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- W4288548712 date "2019-02-28" @default.
- W4288548712 modified "2023-09-27" @default.
- W4288548712 title "A family of Beckner inequalities under various curvature-dimension conditions" @default.
- W4288548712 hasPublicationYear "2019" @default.
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