Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Median-type John-Nirenberg space in metric measure spaces   We study the so-called John-Nirenberg space that is a generalization of
functions of bounded mean oscillation in the setting of metric measure spaces
with a doubling measure. Our main results are local and global John-Nirenberg
inequalities, which give weak type estimates for the oscillation of a function.
We consider medians instead of integral averages throughout, and thus functions
are not a priori assumed to be locally integrable. Our arguments are based on a
Calder\'{o}n-Zygmund decomposition and a good-$\lambda$ inequality for medians.
A John-Nirenberg inequality up to the boundary is proven by using chaining
arguments. As a consequence, the integral-type and the median-type
John-Nirenberg spaces coincide under a Boman-type chaining assumption.

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The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: solv-int