4 papers · 1 filter
Bounded functional calculi for unbounded operators
Charles Batty, Alexander Gomilko, Yuri Tomilov
This article summarises the theory of several bounded functional calculi for unbounded operators that have recently been discovered. The extend the Hille--Phillips calculus for (ne…
Functional calculi for sectorial operators and related function theory
Charles Batty, Alexander Gomilko, Yuri Tomilov
We construct two bounded functional calculi for sectorial operators on Banach spaces, which enhance the functional calculus for analytic Besov functions, by extending the class of…
Besov spaces associated with non-negative operators on Banach spaces
Charles Batty, Chuang Chen
Motivated by a variety of representations of fractional powers of operators, we develop the theory of abstract Besov spaces for non-negative operators on…
A Besov algebra calculus for generators of operator semigroups and related norm-estimates
Charles Batty, Alexander Gomilko, Yuri Tomilov
We construct a new bounded functional calculus for the generators of bounded semigroups on Hilbert spaces and generators of bounded holomorphic semigroups on Banach spaces. The cal…