Under the Lipschitz and square integrable assumptions on the generator g of BSDEs, this paper proves that if g is positively homogeneous in (y, z) and is decreasing in y, then the Moment inequality for BSDEs with ge...Under the Lipschitz and square integrable assumptions on the generator g of BSDEs, this paper proves that if g is positively homogeneous in (y, z) and is decreasing in y, then the Moment inequality for BSDEs with generator g holds in general, and if g is positively homogeneous and sub-additive in (y, z), then the HSlder inequality and Minkowski inequality for BSDEs with generator g hold in general.展开更多
基金Supported by the National Natural Science Foundation of China(No.10671205,)Youth Foundation of China University of Mining and Technology(No.2006A041,2007A029)
文摘Under the Lipschitz and square integrable assumptions on the generator g of BSDEs, this paper proves that if g is positively homogeneous in (y, z) and is decreasing in y, then the Moment inequality for BSDEs with generator g holds in general, and if g is positively homogeneous and sub-additive in (y, z), then the HSlder inequality and Minkowski inequality for BSDEs with generator g hold in general.