Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weighted Estimates for Operator-Valued Fourier Multipliers   We establish Littlewood-Paley decompositions for Muckenhoupt weights in the
setting of UMD spaces. As a consequence we obtain two-weight variants of the
Mikhlin multiplier theorem for operator-valued multipliers. We also show
two-weight estimates for multipliers satisfying H\"ormander type conditions.

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The categories of this paper are: stat
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin
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The categories of this paper are: solv-int