A CR Poincaré inequality on the complex sphere
نویسندگان
چکیده
منابع مشابه
Symmetries Shared by the Poincaré Group and the Poincaré Sphere
Henri Poincaré formulated the mathematics of Lorentz transformations, known as the Poincaré group. He also formulated the Poincaré sphere for polarization optics. It is shown that these two mathematical instruments can be derived from the two-by-two representations of the Lorentz group. Wigner’s little groups for internal space-time symmetries are studied in detail. While the particle mass is a...
متن کاملA Quantitative Isoperimetric Inequality on the Sphere
In this paper we prove a quantitative version of the isoperimetric inequality on the sphere with a constant independent of the volume of the set E.
متن کاملA local optimal diastolic inequality on the two-sphere
Using a ramified cover of the two-sphere by the torus, we prove a local optimal inequality between the diastole and the area on the two-sphere near a singular metric. This singular metric, made of two equilateral triangles glued along their boundary , has been conjectured by E. Calabi to achieve the best ratio area over the square of the length of a shortest closed geodesic. Our diastolic inequ...
متن کاملA Poincaré–type Inequality on the Euclidean Unit Sphere
We consider the second variation for the volume of convex bodies associated with the Lp Minkowski-Firey combination and obtain a Poincaré-type inequality on the Euclidean unit sphere Sn−1 . Mathematics subject classification (2010): 52A20.
متن کاملMoser-Trudinger and Beckner-Onofri’s inequalities on the CR sphere
We derive sharp Moser-Trudinger inequalities on the CR sphere. The first type is in the Adams form, for powers of the sublaplacian and for general spectrally defined operators on the space of CRpluriharmonic functions. We will then obtain the sharp Beckner-Onofri inequality for CR-pluriharmonic functions on the sphere, and, as a consequence, a sharp logarithmic Hardy-Littlewood-Sobolev inequali...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2007
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2006.03.066