Miihkinen, SanteriPau, JordiPerälä, AnttiWang, Mao Fa2023-02-242023-02-242020-09-010022-1236https://hdl.handle.net/2445/194160We 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.application/pdfengcc-by-nc-nd (c) Elsevier, 2020https://creativecommons.org/licenses/by-nc-nd/4.0/Espais funcionalsTeoria d'operadorsFuncions de diverses variables complexesEspais analíticsFunction spacesOperator theoryFunctions of several complex variablesAnalytic spacesinfo:eu-repo/semantics/article7101562023-02-24info:eu-repo/semantics/openAccess