Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Musielak Orlicz bumps and Bloom type estimates for commutators of
  Calder\'on Zygmund and fractional integral operators on variable Lebesgue
  spaces via sparse operators   We obtain Musielak Orlicz bumps conditions on a pair of weights for the
boundedness of Calder\'on Zygmund operators and their commutators between
variable Lebesgue spaces with different weights. The symbols of the commutators
belong to a wider class of functions. We also give Bloom type estimates for
commutators of Calder\'on Zygmund and fractional integral operators in the
variable Lebesgue context. The techniques involved in both type of results are
related with the theory of sparse domination.

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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: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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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: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: cs
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an