Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Projection operators on matrix weighted $L^p$ and a simple sufficient
  Muckenhoupt condition   Boundedness for a class of projection operators, which includes the
coordinate projections, on matrix weighted $L^p$-spaces is completely
characterised in terms of simple scalar conditions. Using the projection
result, sufficient conditions, which are straightforward to verify, are
obtained that ensure that a given matrix weight is contained in the Muckenhoupt
matrix $A_p$ class. Applications to singular integral operators with product
kernels are considered.

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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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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: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn