Interpolationseigenschaften des Spektrums linearer Operatoren auf Lp-Räumen.
Intertwining Multiplication Operators on Function Spaces
Suppose that X is a Banach space of analytic functions on a plane domain Ω. We characterize the operators T that intertwine with the multiplication operators acting on X.
Invariant Dissipative Operators on Locally Compact Groups.
Invariant subspaces on multiply connected domains.
The lattice of invariant subspaces of several Banach spaces of analytic functions on the unit disk, for example the Bergman spaces and the Dirichlet spaces, have been studied recently. A natural question is to what extent these investigations carry over to analogously defined spaces on an annulus. We consider this question in the context of general Banach spaces of analytic functions on finitely connected domains Ω. The main result reads as follows: Assume that B is a Banach space of analytic functions...
Inverses and regularity of disjointness preserving operators [Book]
Is an operator on weak which commutes with translations a convolution ?
Isometric composition operators on weighted Dirichlet space
We investigate isometric composition operators on the weighted Dirichlet space with standard weights , . The main technique used comes from Martín and Vukotić who completely characterized the isometric composition operators on the classical Dirichlet space . We solve some of these but not in general. We also investigate the situation when is equipped with another equivalent norm.
Iterates and the boundary behavior of the Berezin transform
Let be a measure on a domain in such that the Bergman space of holomorphic functions in possesses a reproducing kernel and . The Berezin transform associated to is the integral...
Iterates of Volterra operators and indeterminate forms.