Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representation theorems for generators of BSDEs and the extended
  g-expectations in probability spaces with general filtration   In this paper, we establish representation theorems for generators of
backward stochastic differential equations (BSDEs in short) in probability
spaces with general filtration from the perspective of transposition solutions
of BSDEs. As applications, we give a converse comparison theorem for generators
of BSDEs and also some characterizations to positive homogeneity, independence
of y, subadditivity and convexity of generators of BSDEs. Then, we extend
concepts of g-expectations and conditional g-expectations to the probability
spaces with general filtration and investigate their properties.

22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol