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On the radicality property for spaces of symbols of bounded Volterra operators
Cascante, Carme; Fàbrega, Joan; Pascuas, Daniel; Peláez-Márquez, José Ángel (Elsevier, 2024-09)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 ... -
Words of analytic paraproducts on Hardy and weighted Bergman spaces.
Aleman, Alexandru; Casante, Carme; Fàbrega, Joan; Pascuas, Daniel; Peláez-Márquez, José Ángel (Elsevier, 2024)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 ...