104 citations · 141 across the 40 of their papers we have counts for
7 papers · 1 filter
-admissibility of observation and control operators for hypercontractive semigroups
Birgit Jacob, Jonathan R. Partington, Sandra Pott +1
We prove a Weiss conjecture on -admissibility of control and observation operators for discrete and continuous -hypercontractive semigroups of operators, by representing them…
Asymmetric truncated Toeplitz operators and Toeplitz operators with matrix symbol
M. Cristina Câmara, Jonathan R. Partington
Truncated Toeplitz operators and their asymmetric versions are studied in the context of the Hardy space of the half-plane for . It is shown that they are equival…
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…
Phragmén--Lindelöf principles for generalized analytic functions on unbounded domains
Isabelle Chalendar, Jonathan R. Partington
We prove versions of the Phragmén--Lindelöf strong maximum principle for generalized analytic functions defined on unbounded domains. A version of Hadamard's three-lines theorem is…
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…