Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The reconstruction theorem in Besov spaces   The theory of regularity structures sets up an abstract framework of modelled
distributions generalising the usual H\"older functions and allowing one to
give a meaning to several ill-posed stochastic PDEs. A key result in that
theory is the so-called reconstruction theorem: it defines a continuous linear
operator that maps spaces of "modelled distributions" into the usual space of
distributions. In the present paper, we extend the scope of this theorem to
analogues to the whole class of Besov spaces $\mathcal{B}^\gamma_{p,q}$ with
non-integer regularity indices. We then show that these spaces behave very much
like their classical counterparts by obtaining the corresponding embedding
theorems and Schauder-type estimates.

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The categories of this paper are: physics
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The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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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: q-bio
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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: funct-an
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The categories of this paper are: cs
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The categories of this paper are: econ
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The categories of this paper are: solv-int