Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterization of rearrangement invariant spaces with fixed points for
  the Hardy-Littlewood maximal operator   We characterize the rearrangement invariant spaces for which there exists a
non-constant fixed point, for the Hardy-Littlewood maximal operator (the case
for the spaces $L^p(\mathbb{R}^{n})$ was first considered by Korry in
\cite{Ko}). The main result that we prove is that the space
$L^{\frac{n}{n-2},\infty}(\mathbb{R}^{n})\cap L^{\infty}(\mathbb{R}^{n})$ is
minimal among those having this property

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The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin