Weakly compact composition operators on analytic vector-valued function spaces.
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.
Weighted composition operators acting between weighted Bbergman spaces and weighted Banach spaces of holomorphic functions on the unit ball
Weighted composition operators between a weighted-type space and the Hardy space on the unit ball
This paper characterizes the boundedness and compactness of weighted composition operators between a weighted-type space and the Hardy space on the unit ball of ℂⁿ.
Weighted composition operators between Bergman spaces.
Weighted composition operators between mixed norm spaces and spaces in the unit ball.
Weighted composition operators between spaces of Dirichlet type.
Weighted composition operators between two -spaces
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.
Weighted composition operators between weighted Bergman spaces and weighted Banach spaces of holomorphic functions.
Weighted composition operators from generalized weighted Bergman spaces to weighted-type spaces.
Weighted composition operators from to the Bloch space on the polydisc.
Weighted composition operators from Zygmund spaces to Bloch spaces on the unit ball
Let H() denote the space of all holomorphic functions on the unit ball ⊂ ℂⁿ. Let φ be a holomorphic self-map of and u∈ H(). The weighted composition operator on H() is defined by . We investigate the boundedness and compactness of induced by u and φ acting from Zygmund spaces to Bloch (or little Bloch) spaces in the unit ball.
Weighted composition operators on growth spaces.
Weighted composition operators on some weighted spaces in the unit ball.
Weighted composition operators on weighted Bergman spaces.
Weighted composition operators on weighted Bergman spaces of infinite order with the closed range property
Weighted composition operators on weighted Lorentz spaces
The boundedness, compactness and closedness of the range of weighted composition operators acting on weighted Lorentz spaces L(p,q,wdμ) for 1 < p ≤ ∞, 1 ≤ q ≤ ∞ are characterized.
Weighted iterated radial composition operators between some spaces of holomorphic functions on the unit ball.