A note on spectra of weighted composition operators on weighted Banach spaces of holomorphic functions.
Weighted composition followed by differentiation between weighted Banach spaces of holomorphic functions
2010 Mathematics Subject Classification: 47B33, 47B38. Let f be an analytic self-map of the open unit disk D in the complex plane and y be an analytic map on D. Such maps induce a weighted composition operator followed by differentiation DCf, y acting between weighted Banach spaces of holomorphic functions. We characterize boundedness and compactness of such operators in terms of the involved weights as well as the functions f and y.
Boundedness and compactness of weighted composition operators between weighted Bergman spaces
We study when a weighted composition operator acting between different weighted Bergman spaces is bounded, resp. compact.
Weighted Fréchet spaces of holomorphic functions
This article deals with weighted Fréchet spaces of holomorphic functions which are defined as countable intersections of weighted Banach spaces of type . We characterize when these Fréchet spaces are Schwartz, Montel or reflexive. The quasinormability is also analyzed. In the latter case more restrictive assumptions are needed to obtain a full characterization.
Weighted (LB)-spaces of holomorphic functions and the dual density conditions.
Consideramos límites inductivos ponderados de espacios de funciones holomorfas que están definidos como la unión numerable de espacios ponderados de Banach de tipo H. Estudiamos el problema de la descripción proyectiva y analizamos cuando estos espacios tienen la condición de densidad dual de Bierstedt y Bonet.
Volterra composition operators between weighted Bergman spaces and weighted Bloch type spaces.
Differences of weighted compostion operators.
Weighted composition operators between weighted Bergman spaces and weighted Banach spaces of holomorphic functions.
Weighted composition operators between weighted Banach spaces of holomorphic functions and weighted Bloch type space
Let ϕ: → and ψ: → ℂ be analytic maps. They induce a weighted composition operator acting between weighted Banach spaces of holomorphic functions and weighted Bloch type spaces. Under some assumptions on the weights we give a necessary as well as a sufficient condition for such an operator to be bounded resp. compact.
On weighted composition operators acting between weighted Bergman spaces of infinite order and weighted Bloch type spaces
Let ϕ: → and ψ: → ℂ be analytic maps. They induce a weighted composition operator acting between weighted Bergman spaces of infinite order and weighted Bloch type spaces. Under some assumptions on the weights we give a characterization for such an operator to be bounded in terms of the weights involved as well as the functions ψ and ϕ
Boundedness and compactness of weighted composition operators between weighted Bergman spaces
We study when a weighted composition operator acting between different weighted Bergman spaces is bounded, resp. compact.
A characterization of weighted -spaces of holomorphic functions having the dual density condition
We characterize when weighted -spaces of holomorphic functions have the dual density condition, when the weights are radial and grow logarithmically.
Weighted composition operators on weighted Bergman spaces of infinite order with the closed range property
Weighted composition operators acting between weighted Bbergman spaces and weighted Banach spaces of holomorphic functions on the unit ball
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