Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hardy spaces of operator-valued analytic functions   We are concerned with Hardy and BMO spaces of operator-valued functions
analytic in the unit disk of $\mathbb{C}.$ In the case of the Hardy space, we
involve the atomic decomposition since the usual argument in the scalar setting
is not suitable. Several properties (the Garsia-norm equivalent theorem,
Carleson measure, and so on) of BMOA spaces are extended to the operator-valued
setting. Then, the operator-valued $\mathrm{H}^1$-BMOA duality theorem is
proved. Finally, by the $\mathrm{H}^1$-BMOA duality we present the Lusin area
integral and Littlewood-Paley $g$-function characterizations of the
operator-valued analytic Hardy space.

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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con