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Volterra type integration operators from Bergman spaces to Hardy spaces
We completely characterize the boundedness of the Volterra type integration
operators acting from the weighted Bergman spaces to the
Hardy spaces of the unit ball of for all . A
partial solution to the case was previously obtained by Z. Wu in
\cite{Wu}. We solve the cases left open there and extend all the results to the
setting of arbitrary complex dimension . 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.Comment: 26 pages, 1 figur
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