Weighted Space and Bloch-Type Space on the Unit Ball of an Infinite Dimensional Complex Banach Space

Weighted composition operators between the Bloch type space and the Hardy space on the unit ball of complex Banach space

“…Let ψ ∈ H(B X , C) and ϕ ∈ H(B X , B X ). The weighted composition operator with multiplication symbol ψ and composition symbol ϕ is defined in the following manner (see [32]):…”

“…Some study has also been devoted to the situation when B X is the open unit ball of a Banach space X (see e.g. [3,15,16,18,25,32]).…”

Integration operators between Bloch type spaces and growth spaces on the unit ball of a complex Banach space

“…Hamada [18] introduced Bloch type spaces B R (B X ) ω on the unit ball B X . Tu and Xiong [36] studied the boundedness and compactness of weighted composition operators from B R (B X ) ω to H ∞ µ (B X ). Given a function g ∈ H(B X ), following [18], the Volterra type integration operator J g is defined by…”