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For a fixed analytic function $g$ on the unit disc $\D$, we consider the analytic paraproducts induced by $g$, which are defined by
$T_gf(z)= \int_0^z f(\z)g'(\z)\,d\z$,
$S_gf(z)= \int_0^z f'(\z)g(\z)\,d\z$, and
$M_gf(z)= ...
In [1] it is shown that the Bloch space in the unit disc has the following radicality property: if an analytic function g satisfies that , then , for all . Since coincides with the space of analytic symbols g such that the ...
For a fixed analytic function g on the unit disc, we consider the analytic paraproducts induced by g, which are formally defined by , , and . We are concerned with the study of the boundedness of operators in the algebra ...