Artículos
Sharp Interpolation Inequalities on the Sphere
Editorial: Chin. Ann. Math.
Licencia: Creative Commons (by-nc-nd)
Autor(es): Dolbeault, Jean; [et al.]
Licencia: Creative Commons (by-nc-nd)
Autor(es): Dolbeault, Jean; [et al.]
This paper is devoted to various considerations on a family of sharp interpolation inequalities on the sphere, which in dimension greater than 1 interpolate between Poincar´e, logarithmic Sobolev and critical Sobolev (Onofri in dimension two) inequalities. The connection between optimal constants and spectral properties of the Laplace-Beltrami operator on the sphere is emphasized. The authors address a series of related observations and give proofs based on symmetrization and the ultraspherical setting.
[2013]
Compartir:
Esta es una vista previa de los documentos vistos recientemente por el usuario.
Una vez que el usuario haya visto al menos un documento, este fragmento será visible.
Una vez que el usuario haya visto al menos un documento, este fragmento será visible.