Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vector-valued decoupling and the Burkholder-Davis-Gundy inequality   Let X be a Banach space. We prove p-independence of the one-sided decoupling
inequality for X-valued tangent martingales as introduced by Kwapien and
Woyczynski. It is known that a Banach space X satisfies the two-sided
decoupling inequality if and only if X is a UMD Banach space. The one-sided
decoupling inequality is a weaker property, including e.g. the space L^1. We
provide information on the optimal constants for various spaces, and give a
upper estimate of order p in general. In the second part of our paper we derive
Burkholder-Davis-Gundy type estimates for p-th moments, p in (0,infty), of
X-valued stochastic integrals, provided X is a UMD Banach space or a space in
which the one-sided decoupling inequality holds.

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The categories of this paper are: atom-ph
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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: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: cs
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas