Weighted composition operators from Bergman-type spaces into Bloch spaces
Let ϕ be an analytic self-map and u be a fixed analytic function on the open unit disk D in the complex plane ℂ. The weighted composition operator is defined by
Weighted composition operators from Bergman-type spaces into Bloch spaces and little Bloch spaces are characterized by function theoretic properties of their inducing maps.
$$ uC_\phi f = u \cdot (f \circ \phi ), f \in H(D). $$
KeywordsWeighted composition operator Bergman-type space Bloch space
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