Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rearrangements of the Haar system which preserve $\BMO$   In this paper general rearrangements of the Haar system in BMO are
considered. Several, necessary and suficient, conditions for the boundednes of
the induced permutation operator are given. Using analytic families of
operators extensions to the case of $L^p$ are obtained .

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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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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: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ