A characterization of dilatation analytic integral kernels

✍ Scribed by Alessandro Dionisi Vici

• Publisher: Springer
• Year: 1979
• Tongue: English
• Weight: 289 KB
• Volume: 3
• Category: Article
• ISSN: 0377-9017
• DOI: 10.1007/bf00401935

✦ Synopsis

We characterize integral operators belonging to B(L z (IR 3 )) which are dilatation analytic in the Cartesian product of two sectors Sa C ~ as analytic functions from Sa • Sa into B(L2(~)), the space of bounded operators on square integrable functions on the unit sphere ~2, which satisfy certain norm estimates uniformly on every subsector.