Generalized Composition Operators Between Weighted Dirichlet Type Spaces and Bloch Type Spaces
Abstract
We characterize bounded and compact generalized composition
operators between Bloch type spaces and weighted Dirichlet
type spaces. Then, we show that these results can be employed to characterize
bounded and compact Volterra type operators between these
spaces. Finally, we give a connection between weighted and generalized
composition operators to conclude some results about boundedness and
compactness of them.
operators between Bloch type spaces and weighted Dirichlet
type spaces. Then, we show that these results can be employed to characterize
bounded and compact Volterra type operators between these
spaces. Finally, we give a connection between weighted and generalized
composition operators to conclude some results about boundedness and
compactness of them.
Keywords
Bloch type space, weighted Dirichlet type
space, generalized composition operator, weighted composition operator,
Volterra type operator.
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