The system will be going down for regular maintenance. Please save your work and logout.
Restriction estimates via the derivatives of the heat semigroup and connection with dispersive estimates
Language
en
Article de revue
This item was published in
Mathematical Research Letters. 2013, vol. 20, n° 6, p. 1047-1058
International Press
English Abstract
We consider an abstract non-negative self-adjoint operator H on an L2- space. We derive a characterization for the restriction estimate lldEH(λ)/dλll Lp→Lp ≤ Cλ d/2 (1/p − 1/p')−1 (involving the Radon-Nikodym derivative ...Read more >
We consider an abstract non-negative self-adjoint operator H on an L2- space. We derive a characterization for the restriction estimate lldEH(λ)/dλll Lp→Lp ≤ Cλ d/2 (1/p − 1/p')−1 (involving the Radon-Nikodym derivative of the spectral measure) in terms of higher order derivatives of the semigroup e−tH. We provide an alternative proof of a result in [1] which asserts that dispersive estimates imply restriction estimates. We also prove Lp − Lp' estimates for the derivatives of the spectral resolution of H.Read less <
ANR Project
Aux frontières de l'analyse Harmonique - ANR-12-BS01-0013
Origin
Hal imported