Sharp Interpolation Inequalities on the Sphere: New Methods and Consequences
نویسندگان
چکیده
منابع مشابه
Sharp Interpolation Inequalities on the Sphere: New Methods and Consequences∗
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 Poincaré, 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 ad...
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ژورنال
عنوان ژورنال: Chinese Annals of Mathematics, Series B
سال: 2013
ISSN: 0252-9599,1860-6261
DOI: 10.1007/s11401-012-0756-6