A band limited and Besov class functional calculus for Tadmor-Ritt operators

✍ Scribed by Pascale Vitse

• Publisher: Springer
• Year: 2005
• Tongue: English
• Weight: 127 KB
• Volume: 85
• Category: Article
• ISSN: 0003-889X
• DOI: 10.1007/s00013-005-1345-7

✦ Synopsis

For Banach space operators T satisfying the Tadmor-Ritt condition (zI

n k=m a k z k and a is at most of the order C(T ) 5 . It follows that such a T allows a bounded Besov algebra B 0 ∞1 functional calculus, f (T ) b f B 0 ∞1 . These estimates are sharp in a convenient sense. Relevant embedding theorems for B 0 ∞1 are derived.