%0 Journal Article %T Representation of G-martingales as stochastic integrals with respect to the G-Brownian motion %A Qian Lin %J Mathematics %D 2010 %I arXiv %X The objective of this paper is to derive a representation of symmetric G-martingales as stochastic integrals with respect to the G-Brownian motion. For this end, we first study some extensions of stochastic calculus with respect to G-martingales under the sublinear expectation spaces. %U http://arxiv.org/abs/1003.3169v1