Two questions concerning vector-valued holomorphic functions
Two remarks on the maximal-ideal space of H
The topology of the maximal-ideal space of is discussed.
Über die Häufigkeit fortsetzbarer holomorpher Funktionen auf Riemannschen Flächen.
Über getragene vektorwertige analytische Funktionale.
Uniform Convergence on Compacta and Locally Univalent Analytic Functions of Finite Order.
Uniform minimality, unconditionality and interpolation in backward shift invariant subspaces
We discuss relations between uniform minimality, unconditionality and interpolation for families of reproducing kernels in backward shift invariant subspaces. This class of spaces contains as prominent examples the Paley-Wiener spaces for which it is known that uniform minimality does in general neither imply interpolation nor unconditionality. Hence, contrarily to the situation of standard Hardy spaces (and of other scales of spaces), changing the size of the space seems necessary to deduce unconditionality...
[unknown]
Variable exponent Fock spaces
We introduce variable exponent Fock spaces and study some of their basic properties such as boundedness of evaluation functionals, density of polynomials, boundedness of a Bergman-type projection and duality. We also prove that under the global log-Hölder condition, the variable exponent Fock spaces coincide with the classical ones.
Volterra composition operators from spaces to Bloch-type spaces.
Weak conditions for interpolation in holomorphic spaces.
An analogue of the notion of uniformly separated sequences, expressed in terms of extremal functions, yields a necessary and sufficient condition for interpolation in Lp spaces of holomorphic functions of Paley-Wiener-type when 0 < p ≤ 1, of Fock-type when 0 < p ≤ 2, and of Bergman-type when 0 < p < ∞. Moreover, if a uniformly discrete sequence has a certain uniform non-uniqueness property with respect to any such Lp space (0 < p < ∞), then it is an interpolation...
Weighted composition operators from spaces to spaces.
Weighted composition operators on weighted Bergman spaces of infinite order with the closed range property
Weighted sub-Bergman Hilbert spaces
We consider Hilbert spaces which are counterparts of the de Branges-Rovnyak spaces in the context of the weighted Bergman spaces A2α, −1 < α < ∞. These spaces have already been studied in [8], [7], [5] and [1]. We extend some results from these papers
Weighted sub-Bergman Hilbert spaces in the unit disk
We study sub-Bergman Hilbert spaces in the weighted Bergman space . We generalize the results already obtained by Kehe Zhu for the standard Bergman space .
Zeros of functions in spaces
Zur Verteilung der schlichten Funktionen.
Абстрактные приемы локального описания замкнутых подмодулей аналитических функций
Аналитические свойства пар Шмидта ганкелева оператора и обобщенная задача Шура-Такаги
Весовые оценки преобразования Фурье
Внутренние функции и связанные с ними пространства псевдопродолжимых функций