Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local characteristics and tangency of vector-valued martingales   This paper is devoted to tangent martingales in Banach spaces. We provide the
definition of tangency through local characteristics, basic $L^p$- and
$\phi$-estimates, a precise construction of a decoupled tangent martingale, new
estimates for vector-valued stochastic integrals, and several other claims
concerning tangent martingales and local characteristics in infinite
dimensions. This work extends various real-valued and vector-valued results in
this direction e.g. due to Grigelionis, Hitczenko, Jacod, Kallenberg,
Kwapie\'{n}, McConnell, and Woyczy\'{n}ski. The vast majority of the assertions
presented in the paper is done under the sufficient and necessary UMD
assumption on the corresponding Banach space.

28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
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The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th