Now showing items 1-7 of 7
Cyclicity of coefficient multipliers: Linear structure [Article]
In this paper we characterize various kinds of cyclicity of sequences of coefficient multipliers, which are operators defined on spaces of holomorphic functions. In the case of a single coefficient multiplier we characterize ...
Simultaneously maximal radial cluster sets [Article]
In this paper, we show that for a wide class of operators T –including infi- nite order differential operators, and multiplication and composition operators– acting on the space H(D) of holomorphic functions in the unit ...
Maximal cluster sets along arbitrary curves [Article]
The existence of a dense linear manifold of holomorphic functions on a Jordan domain having except for zero maximal cluster set along any curve tending to the boundary with nontotal oscillation value set is shown.
Holomorphic operators generating dense images [Article]
The existence of infinite dimensional closed linear spaces of holomorphic functions f on a domain G in the complex plane such that T f has dense images on certain subsets of G, where T is a continuous linear operator, is ...
Universal functions with small derivatives and extremely fast growth [Article]
(De Gruyter, 2002-03)
Universal matrix transforms of holomorphic functions [Article]
(University of Houston, 2006)
The phenomenon of overconvergence is related with the convergence of subsequences of the sequence of partial sums of Taylor series at points outside their disk of convergence. During the seventies Chui and Parnes and the ...
Lacunary non-continuable boundary-regular holomorphic functions with universal properties [Article]
(National Academy of Sciences of the Republic of Armenia, 2006)
A holomorphic function in a Jordan domain G in the complex plane is constructed with all its derivatives extending continuously up to the boundary G that happens to be a natural boundary of In addition the action of a ...