Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Schatten classes and commutator in the two weight setting, I. Hilbert
  transform   We characterize the Hilbert--Schmidt class membership of commutator with the
Hilbert transform in the two weight setting. The characterization depends upon
the symbol of the commutator being in a new weighted Besov space. This follows
from a Schatten class $S_p$ result for dyadic paraproducts, where $1< p <
\infty $. We discuss the difficulties in extending the dyadic result to the
full range of Schatten classes for the Hilbert transform.

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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: econ