Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: H\"older estimates for the noncommutative Mazur maps   For any von Neumann algebra $\mathcal M$, the noncommutative Mazur map
$M_{p,q}$ from $L_p(\mathcal M)$ to $L_q(\mathcal M)$ with $1\leq p,q<\infty$
is defined by $f\mapsto f|f|^{\frac {p-q}q}$. In analogy with the commutative
case, we gather estimates showing that $M_{p,q}$ is $\min\{\frac
pq,1\}$-H\"older on balls.

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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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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: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: chem-ph