Boundary values of analytic semigroups and associated norm estimates
Volume 91 / 2010
Banach Center Publications 91 (2010), 87-103
MSC: Primary 47D03, 46J40; Secondary 46H20.
DOI: 10.4064/bc91-0-5
Abstract
The theory of quasimultipliers in Banach algebras is developed in order to provide a mechanism for defining the boundary values of analytic semigroups on a sector in the complex plane. Then, some methods are presented for deriving lower estimates for operators defined in terms of quasinilpotent semigroups using techniques from the theory of complex analysis.
