Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The boundedness of operators in Muckenhoupt weighted Morrey spaces via
  extrapolation techniques and duality   The bidual of the closure of smooth functions with respect to the Morrey norm
coincides with the Morrey space. This assertion is generalized to some
Muckenhoupt weighted Morrey spaces. We combine this fact with basic
extrapolation techniques due to Rubio de Francia adapted to weighted Morrey
spaces. This leads to new results on the boundedness of operators even for the
unweighted case.

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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: eess