Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterization of non-linear Besov spaces   The canonical generalizations of two classical norms on Besov spaces are
shown to be equivalent even in the case of non-linear Besov spaces, that is,
function spaces consisting of functions taking values in a metric space and
equipped with some Besov-type topology. The proofs are based on atomic
decomposition techniques and metric embeddings. Additionally, we provide
embedding results showing how non-linear Besov spaces embed into non-linear
$p$-variation spaces and vice versa. We emphasize that we neither assume the
UMD property of the involved spaces nor their separability.

12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn