2026-04-18T05:15:45Zhttps://recercat.cat/oai/request

oai:recercat.cat:2445/1941602025-12-05T09:56:23Zcom_2072_1057col_2072_478917col_2072_478920

Volterra type integration operators from Bergman spaces to Hardy spaces Miihkinen, Santeri Pau, Jordi Perälä, Antti Wang, Mao Fa Espais funcionals Teoria d'operadors Funcions de diverses variables complexes Espais analítics Function spaces Operator theory Functions of several complex variables Analytic spaces 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. 2023-02-24T18:33:21Z 2023-02-24T18:33:21Z 2020-09-01 2023-02-24T18:33:22Z info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion 0022-1236 https://hdl.handle.net/2445/194160 710156 eng Versió postprint del document publicat a: https://doi.org/10.1016/j.jfa.2020.108564 Journal of Functional Analysis, 2020, vol. 279, num. 4 https://doi.org/10.1016/j.jfa.2020.108564 cc-by-nc-nd (c) Elsevier, 2020 https://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess application/pdf Elsevier Articles publicats en revistes (Matemàtiques i Informàtica)