Lower bound of admissible functions on sphere

✍ Scribed by A. Ben Abdesselem

• Publisher: Elsevier Science
• Year: 2002
• Tongue: French
• Weight: 72 KB
• Volume: 126
• Category: Article
• ISSN: 0007-4497
• DOI: 10.1016/s0007-4497(02)01136-3

✦ Synopsis

We prove that a class of invariant functions, admissible with respect to the Fubini-Study metric on the sphere S 2 = P 1 C are bounded from below by a function going to infinity on the intersection of charts. This lower bound is sharp in terms of an Hőrmander type inequality.