Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Volterra type integration operators from Bergman spaces to Hardy spaces   We completely characterize the boundedness of the Volterra type integration
operators $J_b$ acting from the weighted Bergman spaces $A^p_\alpha$ 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
\cite{Wu}. 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.

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The categories of this paper are: eess
3
The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
1
The categories of this paper are: cs
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: quant-ph