10 citations · 30 across the 37 of their papers we have counts for
6 papers · 2 filters
Lower estimates near the origin for functional calculus on operator semigroups
I. Chalendar, J. Esterle, J. R. Partington
This paper provides sharp lower estimates near the origin for the functional calculus of a generator of an operator semigroup defined on the (strictly) positive real l…
Inner functions and operator theory
Isabelle Chalendar, Pamela Gorkin, Jonathan R. Partington
This tutorial paper presents a survey of results, both classical and new, linking inner functions and operator theory. Topics discussed include invariant subspaces, universal opera…
Weighted composition operators on the Dirichlet space: boundedness and spectral properties
I. Chalendar, E. A. Gallardo-Gutiérrez, J. R. Partington
Boundedness of weighted composition operators acting on the classical Dirichlet space as is studied in terms of the multiplier sp…
A class of quasicontractive semigroups acting on Hardy and Dirichlet space
C. Avicou, I. Chalendar, J. R. Partington
This paper provides a complete characterization of quasicontractive -semigroups on Hardy and Dirichlet space with a prescribed generator of the form . We show that suc…
Dichotomy results for norm estimates in operator semigroups
I. Chalendar, J. Esterle, J. R. Partington
This is a survey paper concerned with strongly continuous semigroups in a Banach algebra (often itself simply the algebra of bounded linear operators on a Banach space). These are…
Analyticity and compactness of semigroups of composition operators
C. Avicou, I. Chalendar, J. R. Partington
This paper provides a complete characterization of quasicontractive groups and analytic -semigroups on Hardy and Dirichlet space on the unit disc with a prescribed generator o…