Superposition operators between normal weight bloch spaces
Tóm tắt
Let
$$\varphi $$
be an entire function, the superposition operator is defined by
$$S_{\varphi }(f)=\varphi \circ f$$
. In this paper, we characterize the entire functions
$$\varphi $$
that transform weighted Bloch spaces of analytic functions
$${\mathcal {B}}_{\mu }$$
into another space of the same kind
$${\mathcal {B}}_{\nu }$$
by superposition. Both
$$\mu $$
and
$$\nu $$
are normal functions or both belong to a certain class of functions. We also obtain several results about the boundedness of superposition operators acting between Logarithmic-type Bloch spaces, weight Banach spaces among others.
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