2026-04-14T05:52:39Zhttps://recercat.cat/oai/requestoai:recercat.cat:2445/1941602025-12-05T09:56:23Zcom_2072_1057col_2072_478917col_2072_478920
RECERCAT
author
Miihkinen, Santeri
author
Pau, Jordi
author
Perälä, Antti
author
Wang, Mao Fa
2023-02-24T18:33:21Z2023-02-24T18:33:21Z2020-09-012023-02-24T18:33:22Z
We completely characterize the boundedness of the Volterra type integration operators $J_b$ acting from the weighted Bergman spaces $A_\alpha^p$ to the Hardy spaces $H^q$ of the unit ball of $\mathbb{C}^n$ for all $0<p, q<\infty$. A partial solution to the case $n=1$ was previously obtained by Z. Wu in [35]. We solve the cases left open there and extend all the results to the setting of arbitrary complex dimension $n$. Our tools involve area methods from harmonic analysis, Carleson measures and Kahane-Khinchine type inequalities, factorization tricks for tent spaces of sequences, as well as techniques and integral estimates related to Hardy and Bergman spaces.
cc-by-nc-nd (c) Elsevier, 2020 https://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess
Espais funcionals
Teoria d'operadors
Funcions de diverses variables complexes
Espais analítics
Function spaces
Operator theory
Functions of several complex variables
Analytic spaces
Volterra type integration operators from Bergman spaces to Hardy spaces
info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion