2026-04-17T20:07:19Zhttps://recercat.cat/oai/request

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

00925njm 22002777a 4500 dc Miihkinen, Santeri author Pau, Jordi author Perälä, Antti author Wang, Mao Fa author 2023-02-24T18:33:21Z 2023-02-24T18:33:21Z 2020-09-01 2023-02-24T18:33:22Z 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. 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