Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Continuous-time sparse domination   We develop the self similarity argument known as sparse domination in an
abstract martingale setting, using a continuous time parameter. With this
method, we prove a sharp weighted L^p estimate for the maximal operator Y^* of
Y with respect to X. Here Y and X are uniformly integrable c\`adll\`ag Hilbert
space valued martingales and Y differentially subordinate to X via the square
bracket process. We also present a second, very simple proof of the special
case Y=X. In this generality, notably including processes with jumps, the
special case Y = X addresses a question raised in the late 70s by
Bonami--L\'epingle.

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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys