RT Journal Article
T1 On the radicality property for spaces of symbols of bounded Volterra operators
A1 Cascante, Carme
A1 Fàbrega, Joan
A1 Pascuas, Daniel
A1 Peláez-Márquez, José Ángel
K1 Volterra, Operadores
K1 Matemáticas
K1 Informática
K1 Análisis (Matemáticas)
AB 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 Volterra-type operator is bounded on the classical weighted Bergman space , the radicality property was used to study the composition of paraproducts and on . Motivated by this fact, we prove that also has the radicality property, for any radial weight ω. Unlike the classical case, the lack of a precise description of for a general radial weight, induces us to prove the radicality property for from precise norm-operator results for compositions of analytic paraproducts.
PB Elsevier
YR 2024
FD 2024-09
LK https://hdl.handle.net/10630/32529
UL https://hdl.handle.net/10630/32529
LA eng
NO Carme Cascante, Joan Fàbrega, Daniel Pascuas, José Ángel Peláez, On the radicality property for spaces of symbols of bounded Volterra operators, Journal of Functional Analysis, Volume 287, Issue 12, 2024, 110658, ISSN 0022-1236
NO Funding for open access charge: Universidad de Málaga / CBUA
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 21 ene 2026