Now showing items 1-5 of 5
Operators with dense images everywhere [Article]
In this paper, the authors introduce the dense-image operators T as those with a wild behaviour near of the boundary of a domain G, via certain subsets. The relationship with other kinds of operators with wild behaviour ...
Monsters in Hardy and Bergman spaces [Article]
(Taylor & Francis, 2002)
A monster in the sense of Luh is a holomorphic function on a simply connected domain in the complex plane such that it and all its derivatives and antiderivatives exhibit an extremely wild behaviour near the boundary. In ...
Dense linear manifolds of monsters [Article]
In this paper the new concept of totally omnipresent operators is introduced. These operators act on the space of holomorphic functions of a domain in the complex plane. The concept is more restrictive than that of ...
Strongly omnipresent operators: general conditions and applications to composition operators [Article]
(Cambridge University Press, 2002-06)
This paper studies the concept of strongly omnipresent operators that was recently introduced by the first two authors. An operator T on the space H(G) of holomorphic functions on a complex domain G is called strongly ...
Holomorphic T-monsters and strongly omnipresent operators [Article]
Assume that G is a nonempty open subset of the complex plane and that T is an operator on the linear space of holomorphic functions in G, endowed with the compact-open topology. In this paper we introduce the notions of ...