We give a condition on the couple of weights（u,v） for Doob＇s operator to be a bounded one from martingale space Lp（u） to function space Lp（v） .Moreover,we also obtain necessary and sufficient conditions in orde...We give a condition on the couple of weights（u,v） for Doob＇s operator to be a bounded one from martingale space Lp（u） to function space Lp（v） .Moreover,we also obtain necessary and sufficient conditions in order that the maximal geometric mean operator is bounded from martingale space Lp（u） to function space Lp（v） or Lp,∞（v） .展开更多
基金Supported by the National Natural Science Foundation of China(10671147)
文摘We give a condition on the couple of weights（u,v） for Doob＇s operator to be a bounded one from martingale space Lp（u） to function space Lp（v） .Moreover,we also obtain necessary and sufficient conditions in order that the maximal geometric mean operator is bounded from martingale space Lp（u） to function space Lp（v） or Lp,∞（v） .
