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Representation for filtration-consistent nonlinear expectations under a general domination condition
Shiqiu Zheng, Shoumei Li · 2015-02-06 · via math.PR updates on arXiv.org

In this paper, we consider filtration-consistent nonlinear expectations which satisfy a general domination condition (dominated by ${\cal{E}}^φ$). We show that this kind of nonlinear expectations can be represented by $g$-expectations defined by the solutions of backward stochastic differential equations, whose generators are independent on $y$ and uniformly continuous in $z$.

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