Currently displaying 1 – 9 of 9

Showing per page

Order by Relevance | Title | Year of publication

Asymmetric covariance estimates of Brascamp–Lieb type and related inequalities for log-concave measures

Eric A. CarlenDario Cordero-ErausquinElliott H. Lieb — 2013

Annales de l'I.H.P. Probabilités et statistiques

An inequality of Brascamp and Lieb provides a bound on the covariance of two functions with respect to log-concave measures. The bound estimates the covariance by the product of the L 2 norms of the gradients of the functions, where the magnitude of the gradient is computed using an inner product given by the inverse Hessian matrix of the potential of the log-concave measure. Menz and Otto [Uniform logarithmic Sobolev inequalities for conservative spin systems with super-quadratic single-site potential....

Strichartz inequality for orthonormal functions

Rupert FrankMathieu LewinElliott H. LiebRobert Seiringer — 2014

Journal of the European Mathematical Society

We prove a Strichartz inequality for a system of orthonormal functions, with an optimal behavior of the constant in the limit of a large number of functions. The estimate generalizes the usual Strichartz inequality, in the same fashion as the Lieb-Thirring inequality generalizes the Sobolev inequality. As an application, we consider the Schrödinger equation in a time-dependent potential and we show the existence of the wave operator in Schatten spaces.

Page 1

Download Results (CSV)