Analytic Besov functional calculus for several commuting operators

This paper investigates analytic Besov functions of n variables which act on the generators of n commuting C₀ -semigroups on a Banach space. The theory for n=1 has already been published, and the present paper uses a different approach to that case as well as extending to the cases when n≥2 . It also clarifies some spectral mapping properties and provides some operator norm estimates.